Relevant bibliographies by topics / Metodi topologici

Academic literature on the topic 'Metodi topologici'

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Published: 11 March 2023

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Journal articles on the topic "Metodi topologici"

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Musso, Monica, and Angela Pistoia. "Sign changing solutions to a nonlinear elliptic problem involving the critical Sobolev exponent in pierced domains☆☆The first author is supported by Fondecyt 1040936 (Chile). The second author is supported by the M.I.U.R. National Project “Metodi variazionali e topologici nello studio di fenomeni non lineari”." Journal de Mathématiques Pures et Appliquées 86, no. 6 (December 2006): 510–28. http://dx.doi.org/10.1016/j.matpur.2006.10.006.

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Esposito, Pierpaolo, Massimo Grossi, and Angela Pistoia. "On the existence of blowing-up solutions for a mean field equation ☆ ☆The first and second authors are supported by M.U.R.S.T., project “Variational methods and nonlinear differential equations”. The third author is supported by M.U.R.S.T., project “Metodi variazionali e topologici nello studio di fenomeni non lineari”." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 22, no. 2 (March 2005): 227–57. http://dx.doi.org/10.1016/j.anihpc.2004.12.001.

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Gazzola, Filippo, and Marco Squassina. "Global solutions and finite time blow up for damped semilinear wave equations ☆ ☆The first author was partially supported by the Italian MIUR Project “Calcolo delle Variazioni” while the second author was partially supported by the Italian MIUR Project “Metodi Variazionali e Topologici nello Studio dei Fenomeni Nonlineari” and by the INdAM." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 23, no. 2 (March 2006): 185–207. http://dx.doi.org/10.1016/j.anihpc.2005.02.007.

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Lozano Imízcoz, María Teresa. "Poincaré conjecture: A problem solved after a century of new ideas and continued work." Mètode Revista de difusió de la investigació, no. 8 (June 5, 2018): 59. http://dx.doi.org/10.7203/metode.0.9265.

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The Poincaré conjecture is a topological problem established in 1904 by the French mathematician Henri Poincaré. It characterises three-dimensional spheres in a very simple way. It uses only the first invariant of algebraic topology – the fundamental group – which was also defined and studied by Poincaré. The conjecture implies that if a space does not have essential holes, then it is a sphere. This problem was directly solved between 2002 and 2003 by Grigori Perelman, and as a consequence of his demonstration of the Thurston geometrisation conjecture, which culminated in the path proposed by Richard Hamilton.
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Burda, Andrzej, Paweł Cudek, and Zdzisław Hippe. "ProfileSEEKER — system informatyczny wczesnego ostrzegania małych i średnich przedsiębiorstw przed bankructwem." Barometr Regionalny. Analizy i Prognozy, no. 3 (29) (December 21, 2012): 99–105. http://dx.doi.org/10.56583/br.1230.

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W artykule przedstawiono budowę systemu informatycznego ProfileSEEKER do wczesnego ostrzegania małych i średnich przedsiębiorstw przed bankructwem. Opracowany system stanowi zespół pięciu klasyfikatorów, wykorzystujących różnorodne topologie sztucznych sieci neuronowych oraz sieć przekonań Bayesa, wspomagany metodami nadzorowanego uczenia maszynowego. Sprawność systemu oceniono stosując nową metodę walidacji, nazwaną metodą walidacji kolejkowej.
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Effendi, Mufid Ridlo, Eki Ahmad Zaki Hamidi, and Andriansyah Saepulloh. "Implementasi GRE Tunneling Menggunakan Open vSwitch Pada Jaringan Kampus." TELKA - Telekomunikasi, Elektronika, Komputasi dan Kontrol 3, no. 2 (November 11, 2017): 103–11. http://dx.doi.org/10.15575/telka.v3i2.62.

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Perkembangan informasi yang pesat membuat penambahan jaringan baru harus dilakukan dengan cepat, efektif, dan efisien. Menghubungkan dua jaringan lokal yang berbeda wilayah dibutuhkan metoda yang tepat tanpa biaya yang besar. Salah satu metode jaringan untuk menghubungkan dua jaringan lokal yang berbeda wilayah tanpa terkoneksi langsung secara fisik yaitu menggunakan metode tunneling. Salah satu metode tunneling adalah GRE. Metode GRE menggunakan Open vSwitch dengan menggunakan simulator mininet dengan topologi jaringan kampus sederhana telah dilakukan pada penelitian ini. Simulasi ini menghasilkan hasil yang diinginkan dengan terkoneksinya tiap host pada jaringan kampus yang berbeda wilayah.
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Effendi, Mufid Ridlo, Eki Ahmad Zaki Hamidi, and Andriansyah Saepulloh. "Implementasi GRE Tunneling Menggunakan Open vSwitch Pada Jaringan Kampus." TELKA - Telekomunikasi, Elektronika, Komputasi dan Kontrol 3, no. 2 (November 11, 2017): 103–11. http://dx.doi.org/10.15575/telka.v3n2.103-111.

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Perkembangan informasi yang pesat membuat penambahan jaringan baru harus dilakukan dengan cepat, efektif, dan efisien. Menghubungkan dua jaringan lokal yang berbeda wilayah dibutuhkan metoda yang tepat tanpa biaya yang besar. Salah satu metode jaringan untuk menghubungkan dua jaringan lokal yang berbeda wilayah tanpa terkoneksi langsung secara fisik yaitu menggunakan metode tunneling. Salah satu metode tunneling adalah GRE. Metode GRE menggunakan Open vSwitch dengan menggunakan simulator mininet dengan topologi jaringan kampus sederhana telah dilakukan pada penelitian ini. Simulasi ini menghasilkan hasil yang diinginkan dengan terkoneksinya tiap host pada jaringan kampus yang berbeda wilayah.
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WANG Kejian, 王柯俭, 张大成 ZHANG Dacheng, 杨云霄 YANG Yunxiao, 刘旭阳 LIU Xuyang, 余璇 YU Xuan, 雷建廷 LEI Jianting, 张少锋 ZHANG Shaofeng, and 朱江峰 ZHU Jiangfeng. "飞秒涡旋光拓扑荷数的检测方法研究." ACTA PHOTONICA SINICA 50, no. 10 (2021): 1026001. http://dx.doi.org/10.3788/gzxb20215010.1026001.

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Berlot, Rok, and Grega Repovš. "Zgradba in delovanje možganskih omrežij." Slovenian Medical Journal 88, no. 3-4 (April 18, 2019): 168–83. http://dx.doi.org/10.6016/zdravvestn.2830.

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V zadnjih letih je t. i. omrežna perspektiva prispevala k boljšemu razumevanju delovanja možganov pri zdravih posameznikih in bolnikih z boleznimi živčevja. Razvoj neinvazivnih slikovnih metod in uporaba matematičnih orodij teorije grafov sta omogočila proučevanje zgradbe in delovanja možganskih omrežij. Povezave v strukturnih omrežjih lahko rekonstruiramo s pomočjo difuzijskega magnetnoresonančnega slikanja, funkcijske slikovne metode pa omogočajo proučevanje funkcijskih omrežij. Možganske sposobnosti so odvisne od topologije omrežij, ki omogočajo tako segregacijo funkcije kot tudi integrativno procesiranje informacij. Prispevek je dostopen uvod v osnove teorije grafov in nevroznanosti omrežij. Predstavi mere topologije omrežij in osnovne značilnosti možganskih omrežij pri človeku. Članek pojasni, kako bolezenski procesi prizadenejo delovanje možganov kot omrežja, in prikaže primere prenosa v klinično prakso. Izpostavimo tudi nekaj omejitev in izzivov, s katerimi se srečuje to hitro razvijajoče se področje nevroznanosti.
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Singh, Arjun. "A Review on Different Topologies and Control Method of Static Synchronous Compensator." International Journal of Trend in Scientific Research and Development Volume-2, Issue-6 (October 31, 2018): 738–44. http://dx.doi.org/10.31142/ijtsrd18729.

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Dissertations / Theses on the topic "Metodi topologici"

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Corsato, Chiara. "Mathematical analysis of some differential models involving the Euclidean or the Minkowski mean curvature operator." Doctoral thesis, Università degli studi di Trieste, 2015. http://hdl.handle.net/10077/11127.

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2013/2014
Questa tesi è dedicata allo studio di alcuni modelli differenziali che nascono nell'ambito della fluidodinamica o della relatività generale e che coinvolgono gli operatori di curvatura media nello spazio $N$-dimensionale euclideo o di Minkowski. Entrambi sono operatori ellittici quasi-lineari che non soddisfano la proprietà di uniforme ellitticità, essendo l'operatore di curvatura media euclidea degenere, mentre quello di curvatura media nello spazio di Minkowski singolare. Il lavoro è suddiviso in tre parti. La prima riguarda lo studio delle soluzioni periodiche dell'equazione di curvatura prescritta unidimensionale nello spazio euclideo, equazione che modellizza fenomeni di tipo capillarità. In accordo con la struttura dell'operatore di curvatura e imponendo un opportuno comportamento in 0, o all'infinito, della curvatura prescritta, si dimostra l'esistenza di infinite soluzioni subarmoniche classiche arbitrariamente piccole aventi opportune proprietà nodali, oppure di infinite soluzioni subarmoniche a variazione limitata con oscillazioni arbitrariamente grandi. La tecnica per la ricerca delle soluzioni classiche è topologica e si basa sull'uso del numero di rotazione e su una generalizzazione del teorema di Poincaré-Birkhoff; d'altro lato l'approccio per lo studio delle soluzioni non classiche poggia sulla teoria dei punti critici per funzionali non lisci, in particolare su un lemma di passo di montagna nello spazio delle funzioni a variazione limitata. La seconda parte della tesi è dedicata allo studio del problema di Dirichlet omogeneo associato a un'equazione della curvatura media prescritta anisotropa nello spazio euclideo, il quale fornisce un modello di descrizione della geometria della cornea umana. Il problema è ambientato in un dominio regolare in $\mathbb{R}^N$ con frontiera lipschitziana. Il capitolo è suddiviso a sua volta in tre sezioni, che sono rispettivamente focalizzate sui casi unidimensionale, radiale e $N$-dimensionale. Nel caso unidimensionale e nel caso radiale in una palla, si dimostrano l'esistenza e l'unicità di una soluzione classica, che presenta alcune proprietà qualitative aggiuntive. Le tecniche usate in questo contesto sono di natura topologica. Infine, nel caso $N$-dimensionale in un dominio generale, si provano l'esistenza, l'unicità e la regolarità di una soluzione di tipo forte del problema. In relazione ai possibili fenomeni di scoppio del gradiente, l'approccio è variazionale nello spazio delle funzioni a variazione limitata. Si enunciano e si dimostrano prima di tutto alcuni risultati preliminari riguardo al comportamento del funzionale associato al problema; tra questi, si sottolinea l'importanza di una proprietà di approssimazione. Successivamente si provano l'esistenza e l'unicità del minimizzante globale del funzionale, che è regolare all'interno ma non necessariamente sulla frontiera, e soddisfa il problema secondo un'opportuna definizione. Infine si mostra l'unicità della soluzione del problema. Sotto alcune ipotesi rafforzate sulla geometria del dominio, la soluzione ottenuta è classica. La terza parte della tesi riguarda il problema di Dirichlet associato a un'equazione della curvatura media prescritta nello spazio di Minkowski, che è di interesse in relatività generale. Il problema è ambientato in un dominio limitato regolare in $\mathbb{R}^N$ e un modello di curvatura media prescritta è dato da una funzione $f(x,s)$ che può avere comportamento sublineare, lineare, superlineare o sub-superlineare in $s=0$. L'attenzione è rivolta all'esistenza e alla molteplicità di soluzioni positive del problema. Come il precedente, anche questo capitolo è suddiviso in tre sezioni, che trattano rispettivamente i casi unidimensionale, radiale e $N$-dimensionale in un dominio generale. Nel caso unidimensionale, viene impiegato un approccio di tipo mappa-tempo per studiare una semplice situazione autonoma. Nel caso radiale in una palla, la tecnica è variazionale e lo studio del funzionale associato al problema evidenzia l'esistenza di un punto critico (casi sublineare o lineare), o di due (caso superlineare), o di tre punti critici (caso sub-superlineare): ciascuno di questi è una soluzione positiva del problema. Infine, nel caso generale in dimensione $N$, si adotta un approccio topologico che permette di studiare il problema non variazionale, in cui la funzione $f$ può dipendere dal gradiente della soluzione. Più nel dettaglio, con un metodo di sotto- e sopra-soluzioni specificamente sviluppato per questo problema, proviamo vari risultati di esistenza, molteplicità e localizzazione, in relazione alla presenza di una singola sotto-soluzione, o di una singola sopra-soluzione, o di una coppia di sotto- e sopra-soluzione ordinate o non ordinate. L'Appendice chiude la tesi: qui sono raccolti vari strumenti matematici utilizzati nel corso del lavoro.
This thesis is devoted to the study of some differential models arising in fluid mechanics or general relativity and involving the mean curvature operators in the $N$-dimensional Euclidean or Minkowski spaces. In both cases the operators are quasilinear elliptic operators which do not satisfy the property of uniform ellipticity, the Euclidean mean curvature operator being degenerate, whereas the Minkowski mean curvature operator being singular. This work is subdivided into three parts. The first one concerns the study of the periodic solutions of the one-dimensional prescribed curvature equation in the Euclidean space, which models capillarity-type phenomena. According to the structure of the curvature operator and imposing a suitable behaviour at zero, or at infinity, of the prescribed curvature, we prove the existence of infinitely many arbitrarily small classical subharmonic solutions with suitable nodal properties, or bounded variation subharmonic solutions with arbitrarily large oscillations. The technique for the search of classical solutions is topological and relies on the use of the rotation number and on a generalization of the Poincaré-Birkhoff theorem; whereas the approach for the study of non-classical solutions is based on non-smooth critical point theory, namely on a mountain pass lemma set in the space of bounded variation functions. The second part of the thesis is devoted to the study of the homogeneous Dirichlet problem associated with an anisotropic prescribed mean curvature equation in the Euclidean space, which provides a model for describing the geometry of the human cornea. The problem is set in a bounded domain in $\mathbb{R}^N$ with Lipschitz boundary. This chapter is subdivided into three sections, which are focused on the one-dimensional, the radial and the general $N$-dimensional case, respectively. In the one-dimensional and in the radial case in a ball, we prove an existence and uniqueness result of classical solution, which also displays some additional qualitative properties. Here the techniques used are topological in nature. Finally, in the $N$-dimensional case, we prove the existence, the uniqueness and the regularity of a strong-type solution of the problem. In order to tackle the possible gradient blow-up phenomena, the approach is variational and the framework is the space of bounded variation functions. We first collect some preliminary results about the behaviour of the action functional associated with the problem; among them, we remark the importance of an approximation property. We then prove the existence and uniqueness of the global minimizer of the action functional, which is smooth in the interior but non necessarily on the boundary, and satisfies the problem in a suitable sense. We finally prove the uniqueness of solution. Under some strengthened assumptions on the geometry of the domain, the solution obtained is classical. The third part of the thesis deals with the Dirichlet problem associated with a prescribed mean curvature equation in the Minkowski space, which is of interest in general relativity. The problem is set in a bounded regular domain in $\mathbb{R}^N$ and a model prescribed curvature is given by a function $f(x,s)$ whose behaviour is sublinear, linear, superlinear or sub-superlinear at $s=0$. The attention is addressed towards the existence and the multiplicity of positive solutions of the problem. In parallel to the second part of the thesis, this chapter is subdivided into three sections, which are focused on the one-dimensional, the radial and the general $N$-dimensional case, respectively. In the one-dimensional case, a time-map approach is employed for treating a simple autonomous situation. In the radial case in a ball, the technique is variational and the study of the action functional associated with the problem evidences the existence of either one (sublinear or linear cases), or two (superlinear case), or three (sub-superlinear case) non-trivial critical points of the action functional: each of them is a positive solution of the problem. Finally, in the general $N$-dimensional case, we adopt a topological approach which allows to study the non-variational problem, where the function $f$ may also depend on the gradient of the solution. Namely, by a lower and upper solution method specifically developed for this problem, we prove several existence, multiplicity and localization results, in relation to the presence of a single lower solution, or a single upper solution, or a couple of ordered or non-ordered lower and upper solutions of the problem. The Appendix completes this thesis: here several mathematical tools that have been used to prove the results are collected.
XXVI Ciclo
1986
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Shi, Lingsheng. "Numbers and topologies." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2003. http://dx.doi.org/10.18452/14871.

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In der Ramsey Theorie fuer Graphen haben Burr und Erdos vor nunmehr fast dreissig Jahren zwei Vermutungen formuliert, die sich als richtungsweisend erwiesen haben. Es geht darum diejenigen Graphen zu charakterisieren, deren Ramsey Zahlen linear in der Anzahl der Knoten wachsen. Diese Vermutungen besagen, dass Ramsey Zahlen linear fuer alle degenerierten Graphen wachsen und dass die Ramsey Zahlen von Wuerfeln linear wachsen. Ein Ziel dieser Dissertation ist es, abgeschwaechte Varianten dieser Vermutungen zu beweisen. In der topologischen Ramseytheorie bewies Kojman vor kurzem eine topologische Umkehrung des Satzes von Hindman und fuehrte gleichzeitig sogenannte Hindman-Raeume und van der Waerden-Raeume ein (beide sind eine Teilmenge der folgenkompakten Raeume), die jeweils zum Satz von Hindman beziehungsweise zum Satz von van der Waerden korrespondieren. In der Dissertation wird zum einen eine Verstaerkung der Umkehrung des Satzes von van der Waerden bewiesen. Weiterhin wird der Begriff der Differentialkompaktheit eingefuehrt, der sich in diesem Zusammenhang ergibt und der eng mit Hindman-Raeumen verknuepft ist. Dabei wird auch die Beziehung zwischen Differentialkompaktheit und anderen topologischen Raeumen untersucht. Im letzten Abschnitt des zweiten Teils werden kompakte dynamische Systeme verwendet, um ein klassisches Ramsey-Ergebnis von Brown und Hindman et al. ueber stueckweise syndetische Mengen ueber natuerlichen Zahlen und diskreten Halbgruppen auf lokal zusammenhaengende Halbgruppen zu verallgemeinern.
In graph Ramsey theory, Burr and Erdos in 1970s posed two conjectures which may be considered as initial steps toward the problem of characterizing the set of graphs for which Ramsey numbers grow linearly in their orders. One conjecture is that Ramsey numbers grow linearly for all degenerate graphs and the other is that Ramsey numbers grow linearly for cubes. Though unable to settle these two conjectures, we have contributed many weaker versions that support the likely truth of the first conjecture and obtained a polynomial upper bound for the Ramsey numbers of cubes that considerably improves all previous bounds and comes close to the linear bound in the second conjecture. In topological Ramsey theory, Kojman recently observed a topological converse of Hindman's theorem and then introduced the so-called Hindman space and van der Waerden space (both of which are stronger than sequentially compact spaces) corresponding respectively to Hindman's theorem and van der Waerden's theorem. In this thesis, we will strengthen the topological converse of Hindman's theorem by using canonical Ramsey theorem, and introduce differential compactness that arises naturally in this context and study its relations to other spaces as well. Also by using compact dynamical systems, we will extend a classical Ramsey type theorem of Brown and Hindman et al on piecewise syndetic sets from natural numbers and discrete semigroups to locally connected semigroups.
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Porto, Eduardo Castelo Branco. "Metodo da homogeneização aplicado a otimização estrutural topologica." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/265173.

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Orientador: Renato Pavanello
Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Mecanica
Made available in DSpace on 2018-08-07T01:37:07Z (GMT). No. of bitstreams: 1 Porto_EduardoCasteloBranco_M.pdf: 1249639 bytes, checksum: ecf2198ecf41330cd50bfdb24c3bdb08 (MD5) Previous issue date: 2006
Resumo: Este trabalho tem por objetivos a investigação e a implementação de um método de otimização estrutural topológica baseado no uso de microestruturas. Dois modelos de microestrutura são introduzidos no problema de projeto ótimo: um ortotrópico com vazios, via homogeneização, e outro isotrópico com penalidade, via equação constitutiva artificial. As propriedades mecânicas efetivas de tais modelos são determinadas através de um programa iterativo implementado, baseado na abordagem da homogeneização. A análise estrutural é então realizada através do método dos elementos finitos e a topologia ótima é obtida com o uso de um otimizador baseado em critérios de otimalidade. São feitas investigações acerca dos parâmetros envolvidos na técnica de homogeneização, assim como são resolvidos problemas elastoestáticos e elastodinâmicos lineares de estado plano de tensão envolvendo critérios de projeto em rigidez e em freqüência natural e restrição de volume. Os algoritmos, implementados em ambiente Matlab, têm sua eficácia comprovada mediante a resolução de problemas clássicos existentes na literatura. E com a implementação dos modelos de material ortotrópico com vazios e isotrópico com penalidade é possível explorar as principais características e potencialidades de cada abordagem
Abstract: This work aims to investigate and implement a structural topology optimization method based on microstructures. Two microstructure models are introduced in the optimal design problem: one orthotropic with holes, by homogenization, and other isotropic with penalization, by artificial constitutive equation. An implemented iterative program, based on the homogenization approach, determines the effective mechanical properties of each material model. Structural analyses are performed by using the finite element method and optimal topologies are obtained using an optimizer based on optimality criteria. Investigations concerning the parameters related to the homogenization technique are carried out. Linear elastic static and dynamic problems of structures in plane stress state are solved as well, concerning stiffness and natural frequency design criteria and with a constraint on volume. The solution of classic structural problems encountered in literature has demonstrated the effectiveness of the implemented Matlab codes and the implementation of the orthotropic and isotropic material models has made possible the investigation of the main characteristics and potentialities of each approach
Mestrado
Mecanica dos Sólidos e Projeto Mecanico
Mestre em Engenharia Mecânica
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Starodubtsev, Artem. "Topological methods in quantum gravity." Thesis, University of Waterloo, 2005. http://hdl.handle.net/10012/1217.

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The main technical problem with background independent approaches to quantum gravity is inapplicability of standard quantum field theory methods. New methods are needed which would be adapted to the basic principles of General Relativity. Topological field theory is a model which provides natural tools for background independent quantum gravity. It is exactly soluble and, at the same time, diffeomorphism invariant. Applications of topological field theory to quantum gravity include description of boundary states of quantum General Relativity, formulation of quantum gravity as a constrained topological field theory, and a new perturbation theory which uses topological field theory as a starting point. The later is the central theme of the thesis. Unlike the traditional perturbation theory it does not require splitting metric into a background and fluctuations, it is exactly diffeomorphism invariant order by order, and the coupling constant of this theory is dimensionless. We describe the basic ideas and techniques of this perturbation theory as well as inclusion of matter particles, boundary states, and other necessary tools for studying scattering problem in background independent quantum gravity.
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Magnifico, Giuseppe <1991&gt. "Quantum simulation and topological phases in Lattice Gauge Theories." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amsdottorato.unibo.it/9254/1/tesi.pdf.

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Simulating quantum-mechanical systems is a very challenging issue due to the high computational costs. The main reason for this is related to the dimension of the Hilbert space that grows exponentially with the number of degrees of freedom, making an exact implementation impossible even for the most powerful today’s supercomputers. On this ground it appears clear the need of a new simulation method, i.e. quantum simulation. The general idea is very simple: using a controllable quantum system, called quantum simulator, to emulate and to analyze another quantum system that usually results less controllable or accessible. Quantum simulation is currently a growing and multidisciplinary physical area that involves theoretical and experimental research. From the theoretical side, the main focus is on the study of simulation-models that create a mapping between the target physics and the simulator. In the first two parts of this thesis, we explore these ideas by studying the ground-state properties and the real-time dynamics of a class of Zn lattice gauge theories in 1+1 dimensions, in which the gauge fields are coupled to fermionic matter. These models can be considered as quantum simulation-models of lattice 1+1 Quantum Electrodynamics (QED), which is the simplest gauge theory that shows non-trivial phenomena, like confinement, that are also observed in more complicated gauge theories, such as 3+1 Quantum Chromodynamics (QCD). In the third part of this thesis, we unveil an interesting interplay of symmetry and topology by demonstrating the existence of symmetry-protected topological (SPT) phases in the presence of gauge interactions. More specifically, we introduce an alternative discretization of the Schwinger model leading to a new type of topological-QED. We use bosonization and Density-Matrix Renormalization Group (DMRG) techniques to analyze the phase diagram of the model, opening an interesting route to study topological phases of matter in the context of gauge theories.
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Jakobsen, Alexander M. "Topological methods of preference and judgment aggregation." Thesis, University of British Columbia, 2011. http://hdl.handle.net/2429/35592.

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Arrow’s Impossibility Theorem is a classical result in social choice theory (a branch of economic theory), which states that any system of rules for combining (“aggregating”) individual preference relations into a single representative relation results in a “dictatorship” where the combined preference only reflects the wishes of a single individual (provided that the aggregation rule satisfies two basic criteria). Since the 1980s, this result has been reformulated and understood using algebraic topology. The topological approach offers some geometric intuition as to why Arrow’s theorem holds, and can also be used to find alternative hypotheses which may escape the dictatorship outcome. A thorough examination of such topological models constitutes the main body of this thesis. Recently, social choice theory has been generalized (resulting in a field called “judgment aggregation”), and results analogous to Arrow's theorem have been established. The second part of this thesis introduces this field of study, and studies how some of the techniques from topological social choice theory can be extended to understand dictatorship outcomes in the theory of judgment aggregation. Although the analysis is restricted to a rather simple case, it nonetheless highlights the potential for a more general topological model of judgment aggregation, and exposes the main challenges that must be overcome in constructing such a theory.
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Leventides, J. "Algebrogeometric and topological methods in control theory." Thesis, City University London, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358988.

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Safa, Issam I. "Towards Topological Methods for Complex Scalar Data." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1322457949.

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Vála, Pavel. "Optimalizace vlastností snímače vektoru kontaktní síly." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2008. http://www.nusl.cz/ntk/nusl-228264.

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The aim of this work is an optimalization of vector contact force sensor properties which prototype is at the moment designed. The principle of sensor is based on transformation active part of sensor using three tensiometers and following value indentification of loading force vector using neuron network. Sensor has a bad sensitivity when axis force load or near to axis of sensor. To solve this problem ''MKP'' model of sensor was used on which suitable optimalization method was applicated. From the result of optimalization modificated sensor will be proposed and will be made a utility verification using neuron network.
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Millo, Raffaele. "Topological Dynamics in Low-Energy QCD." Doctoral thesis, Università degli studi di Trento, 2011. https://hdl.handle.net/11572/368358.

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In this work we discuss the role of topological degrees of freedom in very low-energy hadronic processes (vacuum polarization and vacuum birefringence). We also present an approach which enables to investigate the microscopic dynamics of non-perturbative processes: this is achieved by constructing an effective statistical theory for topological vacuum gauge configurations, by means of Lattice QCD simulations.
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Books on the topic "Metodi topologici"

1

Matveev, S. V. Algoritmicheskie i kompʹi͡u︡ternye metody v trekhmernoĭ topologii. Moskva: Izd-vo Moskovskogo universiteta, 1991.

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T, Fomenko A., ed. Algoritmicheskie i kompʹi͡u︡ternye metody v trekhmernoĭ topologii. 2nd ed. Moskva: Nauka, 1998.

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Chekhovich, E. K. Optiko-ėlektronnye metody avtomatizirovannogo kontroli͡a︡ topologii izdeliĭ mikroėlektroniki. Minsk: "Nauka i tekhnika", 1989.

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A topological picturebook. New York: Springer-Verlag, 1987.

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Novotny, Antonio André, Jan Sokołowski, and Antoni Żochowski. Applications of the Topological Derivative Method. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-05432-8.

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I, Sobolevskiĭ P., and I͡A︡novich L. A, eds. Priblizhennye metody vychislenii͡a︡ kontinualʹnykh integralov. Minsk: "Nauka i tekhnika", 1985.

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Novotny, Antonio André, and Jan Sokołowski. An Introduction to the Topological Derivative Method. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36915-6.

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Petrovich, Novikov Sergeĭ, and Fomenko A. T, eds. Sovremennai͡a︡ geometrii͡a︡: Metody i prilozhenii͡a︡. 2nd ed. Moskva: "Nauka," Glav. red. fiziko-matematicheskoĭ lit-ry, 1986.

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Paolo, Soriani, ed. The N=2 wonderland: From Calabi-Yau manifolds to topological field-theories. Singapore: World Scientific Pub., 1995.

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Operational quantum theory. New York: Springer, 2006.

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Book chapters on the topic "Metodi topologici"

1

Knudson, Kevin P. "Topological Methods." In Homology of Linear Groups, 1–31. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8338-2_1.

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Kuehn, Christian. "Topological Methods." In Applied Mathematical Sciences, 525–51. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-12316-5_16.

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Taylor, Alexander John. "Topological Methods." In Analysis of Quantised Vortex Tangle, 109–41. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-48556-0_4.

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Smoller, Joel. "Topological Methods." In Grundlehren der mathematischen Wissenschaften, 126–66. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-0873-0_12.

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Drábek, Pavel, and Jaroslav Milota. "Topological Methods." In Methods of Nonlinear Analysis, 243–359. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0387-8_5.

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Sengupta, Anupam. "Materials and Experimental Methods." In Topological Microfluidics, 37–51. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-00858-5_3.

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Francis, George K. "Methods and Media." In A Topological Picturebook, 14–42. New York, NY: Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-68120-7_2.

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Lukeš, Jaroslav, Jan Malý, and Luděk Zajíček. "Quasi-topological methods." In Lecture Notes in Mathematics, 407–23. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075909.

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Blanchard, Philippe, and Erwin Brüning. "Topological Aspects." In Mathematical Methods in Physics, 235–45. Boston, MA: Birkhäuser Boston, 2003. http://dx.doi.org/10.1007/978-1-4612-0049-9_18.

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Blanchard, Philippe, and Erwin Brüning. "Topological Aspects." In Mathematical Methods in Physics, 265–76. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14045-2_19.

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Conference papers on the topic "Metodi topologici"

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Stöckli, Fritz R., and Kristina Shea. "A Simulation-Driven Graph Grammar Method for the Automated Synthesis of Passive Dynamic Brachiating Robots." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47641.

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Topologic configurations of passive dynamic locomotion robots are usually designed manually by human designers and often bio-inspired. However, it is possible that, among the large number of possible configurations, some valid solutions to the problem exist that are potentially superior to existing solutions and, at the same time, different from bio-inspired or otherwise intuition-inspired configurations, and thus not likely discovered without an automated design method. This paper addresses the problem of the automated design of passive dynamic systems in general by introducing a graph grammar based method that integrates dynamic simulation to evaluate and evolve configurations. In particular, the method is shown to find different, new solutions to the problem of the design of two-dimensional passive dynamic continuous contact brachiating robots. Brachiating is the swinging locomotion of primates moving from one tree branch to the next. The presented graph grammar rules preserve system properties among robot topologies, which makes it possible to maintain the necessary symmetry of the brachiating configurations. A separation of parametric optimization and topologic synthesis actions is proposed for the synthesis of passive dynamic systems. Compared to research on automated synthesis of robot topologies that use dynamic simulation to evaluate actuated and controlled robotic systems, this paper contributes a method to automatically generate alternative topologies for passive dynamic systems, which do not draw energy from a power source.
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Patel, Jay, and Matthew I. Campbell. "An Optimization Approach/Technique for Solving Graph Based Design Problems." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49853.

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This paper discusses a new topological optimization technique to solve graph based engineering design problems by decoupling parameters and topology changes. Using this approach optimal solutions are synthesized in the form of graph topologies for engineering problems. Currently we have successfully applied it to routing problems, resistive networks, neural networks, and sheet metal. This final problem has proven the most challenging but the results are not only novel and manufacturable but also satisfy multiple objective functions such as material cost and manufacturability. This paper presents Topological and Parametric Tune and Prune (TP2) as the first topology optimization method that has been developed specifically for domains representable by a graph grammar schema. The method is stochastic and incorporates distinct phases for modifying the topologies and modifying parameters stored within topologies. Thus far, with the problems that been tested, (TP2) had proven better than genetic algorithm in terms of the quality of solutions and time taken to acquire them.
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Funke, Lawrence, and James P. Schmiedeler. "Simultaneous Topological and Dimensional Synthesis of Planar Morphing Mechanisms." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59618.

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This paper presents a general method to perform simultaneous topological and dimensional synthesis for planar rigid-body morphing mechanisms. The synthesis is framed as a multi-objective optimization problem for which the first objective is to minimize the error in matching the desired shapes. The second objective is typically to minimize the actuating force/moment required to move the mechanism, but different applications may require a different choice. The paper shows how all possible topologies can be enumerated for morphing mechanism designs with a specified number of degrees of freedom and how infeasible topologies can be removed from the search space. A multi-objective genetic algorithm is then used to perform the optimization since it can handle both the discrete nature of the topological optimization and the continuous nature of the dimensional optimization. In this way, candidate solutions from any of the feasible topologies enumerated can be evaluated and compared simultaneously. The method also allows for the straightforward incorporation of specific design constraints, such as size limitations and joint location bounds. Ultimately, it yields a sizable population of viable solutions, often of different topologies, so that the designer can manage engineering tradeoffs (beyond those associated with the two objectives) in selecting the best mechanism for the specified application. Two examples are presented to illustrate the strengths of this method. The first examines the advantages gained by considering and optimizing across all topologies simultaneously instead of individual topologies one at a time. The second demonstrates the versatility of the method by incorporating prismatic joints into the morphing chain to allow for morphing between shapes that have significant changes in both shape and arc length.
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Seepersad, Carolyn Conner, Janet K. Allen, David L. McDowell, and Farrokh Mistree. "Robust Topological Design of Cellular Materials." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/dac-48772.

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A robust topology exploration method is under development in which robust design techniques are extended to the early stages of a design process when a product’s layout or topology is determined. The performance of many designs is strongly influenced by both topology, or the geometric arrangement and connectivity of a design, and potential variations in factors such as the operating environment, the manufacturing process, and specifications of the design itself. While topology design and robust design are active research areas, little attention has been devoted to integrating the two categories of design methods. In this paper, we move toward a comprehensive robust topology exploration method by coupling robust design methods, namely, design capability indices with topology design techniques. The resulting design method facilitates efficient, effective realization of robust designs with complex topologies. The method is employed to design extruded cellular materials with robust, desirable elastic properties. For this class of materials, 2D cellular topologies are customizable and largely govern multifunctional performance. By employing robust, topological design methods, we obtain cellular material designs that are characterized by ranged sets of design specifications with topologies that reliably meet a set of design requirements and are relatively simple and robust to anticipated variability.
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Zhou, Hong, and Kwun-Lon Ting. "Spanning Tree Based Topological Optimization of Compliant Mechanisms." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84608.

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In graph theory, spanning trees connect all the vertices together using minimum number of edges. A topological optimization method of compliant mechanisms is presented based on spanning tree theory. A valid topology is regarded as a network connecting input, output, support and intermediate nodes, which contains at least one spanning tree among the introduced nodes. Invalid disconnected topologies can be weeded out if no spanning tree is included. No further deformation analysis and performance evaluation is needed for invalid disconnected topologies. Problem-dependent objectives are optimized for topological optimization of compliant mechanisms. Constraints about maximum input displacement and input force, maximum stress and overlapping connections are directly imposed during the optimization process. The discrete optimization problem is solved by genetic algorithm with penalty function handling constraints. An example is presented to verify the effectiveness of the proposed optimization procedure.
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Chang, Patrick S., and David W. Rosen. "An Improved Size, Matching, and Scaling Method for the Design of Deterministic Mesoscale Truss Structures." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47729.

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Mesoscale truss structures are cellular structures that have support elements on the order of centimeters. These structures are engineered for high performance and have applications in industries where a high strength-to-weight ratio is desired. However, design of mesoscale truss structures currently requires some form of topological optimization that slows the design process. In previous research, a new Size, Matching and Scaling method was presented that eliminated the need for topological optimization by using a solid-body finite element analysis combined with a library of lattice configurations to generate topologies. When compared to topological optimization, results were favorable: design times were significantly reduced and performance results were comparable. In this paper, we present a modified Size Matching and Scaling design method that addresses key issues in the original method. Firstly, we outline an improve methodology. Secondly, we expand the library of configurations in order to improve lattice performance. Finally, we test the updated method and library against design examples.
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Turevsky, Inna, and Krishnan Suresh. "Tracing the Envelope of the Objective-Space in Multi-Objective Topology Optimization." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47329.

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In multi-objective problems, one is often interested in generating the envelope of the objective-space, where the envelope is, in general, a superset of pareto-optimal solutions. In this paper, we propose a method for tracing the envelope of multi-objective topology optimization problems, and generating the corresponding topologies. The proposed method exploits the concept of topological sensitivity, and is applied to bi-objective optimization, namely eigenvalue-volume, eigenvalue-eigenvalue and compliance-eigenvalue problems. The robustness and efficiency of the method is illustrated through numerical examples.
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Takalloozadeh, Meisam, and Krishnan Suresh. "Displacement and Stress Constrained Topology Optimization." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-13521.

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The objective of this paper is to demonstrate a topology optimization method subject to displacement and stress constraints. The method does not rely on pseudo-densities; instead it exploits the concept of topological level-set where ‘partial’ elements are avoided. Consequently: (1) the stresses are well-defined at all points within the evolving topology, and (2) the finite-element analysis is robust and efficient. Further, in the proposed method, a series of topologies of decreasing volume fractions are generated in a single optimization run. The method is illustrated through numerical experiments in 2D.
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Nahm, W., S. Randjbar-Daemi, E. Sezgin, and E. Witten. "TOPOLOGICAL METHODS IN QUANTUM FIELD THEORIES." In Trieste Conference on Topological Methods in Quantum Field Theories. WORLD SCIENTIFIC, 1991. http://dx.doi.org/10.1142/9789814539524.

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Christiansen, Eric M., Mohammad F. Hadi, and Victor H. Barocas. "Relating Network Topology to Network Mechanics." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80684.

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Soft tissues are comprised of underlying fiber networks of collagen and other fibrous proteins and biopolymers. Thus, the ability to model the deformation of fiber networks is critical to understanding the mechanics of tissues in vivo and in vitro [1]. Complicating the issue, protein fiber networks are comprised of a range of different topologies that behave differently under load. There is a clear need for a method to derive network parameters that characterize the network and allow for the prediction of their behavior. In this study, we characterized several different random fiber network types based on their intrinsic mechanical and topological properties. Such characterization would improve our ability to select microscale network topologies that match the mechanical properties we observe in healthy and diseased native tissues [2]. It would also improve our ability to discern the outcome of microstructural changes in tissues (such as from remodeling or injury) on their overall mechanics.
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Reports on the topic "Metodi topologici"

1

Berres, Anne Sabine. Topological Methods for Visualization. Office of Scientific and Technical Information (OSTI), April 2016. http://dx.doi.org/10.2172/1248085.

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Carlsson, Gunnar. Topological Methods for Data Fusion. Fort Belvoir, VA: Defense Technical Information Center, May 2014. http://dx.doi.org/10.21236/ada608839.

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Hopkins, Michael J. Topological Methods in Automorphic Forms. Fort Belvoir, VA: Defense Technical Information Center, March 2011. http://dx.doi.org/10.21236/ada566964.

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Kotiuga, P. R. Geometrical and Topological Methods in Time Domain Antenna Synthesis. Fort Belvoir, VA: Defense Technical Information Center, April 1994. http://dx.doi.org/10.21236/ada284208.

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Wang, Yusu. Final Technical Report for "Feature Extraction, Characterization, and Visualization for Protein Interaction via Geometric and Topological Methods". Office of Scientific and Technical Information (OSTI), March 2013. http://dx.doi.org/10.2172/1070043.

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Yan, Yujie, and Jerome F. Hajjar. Automated Damage Assessment and Structural Modeling of Bridges with Visual Sensing Technology. Northeastern University, May 2021. http://dx.doi.org/10.17760/d20410114.

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Recent advances in visual sensing technology have gained much attention in the field of bridge inspection and management. Coupled with advanced robotic systems, state-of-the-art visual sensors can be used to obtain accurate documentation of bridges without the need for any special equipment or traffic closure. The captured visual sensor data can be post-processed to gather meaningful information for the bridge structures and hence to support bridge inspection and management. However, state-of-the-practice data postprocessing approaches require substantial manual operations, which can be time-consuming and expensive. The main objective of this study is to develop methods and algorithms to automate the post-processing of the visual sensor data towards the extraction of three main categories of information: 1) object information such as object identity, shapes, and spatial relationships - a novel heuristic-based method is proposed to automate the detection and recognition of main structural elements of steel girder bridges in both terrestrial and unmanned aerial vehicle (UAV)-based laser scanning data. Domain knowledge on the geometric and topological constraints of the structural elements is modeled and utilized as heuristics to guide the search as well as to reject erroneous detection results. 2) structural damage information, such as damage locations and quantities - to support the assessment of damage associated with small deformations, an advanced crack assessment method is proposed to enable automated detection and quantification of concrete cracks in critical structural elements based on UAV-based visual sensor data. In terms of damage associated with large deformations, based on the surface normal-based method proposed in Guldur et al. (2014), a new algorithm is developed to enhance the robustness of damage assessment for structural elements with curved surfaces. 3) three-dimensional volumetric models - the object information extracted from the laser scanning data is exploited to create a complete geometric representation for each structural element. In addition, mesh generation algorithms are developed to automatically convert the geometric representations into conformal all-hexahedron finite element meshes, which can be finally assembled to create a finite element model of the entire bridge. To validate the effectiveness of the developed methods and algorithms, several field data collections have been conducted to collect both the visual sensor data and the physical measurements from experimental specimens and in-service bridges. The data were collected using both terrestrial laser scanners combined with images, and laser scanners and cameras mounted to unmanned aerial vehicles.
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