Дисертації з теми "Fixed points of morphisms"
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Nevisi, Hossein. "Conditions on the existence of unambiguous morphisms." Thesis, Loughborough University, 2012. https://dspace.lboro.ac.uk/2134/10282.
Повний текст джерелаHendtlass, Matthew. "Constructing fixed points and economic equilibria." Thesis, University of Leeds, 2013. http://etheses.whiterose.ac.uk/4973/.
Повний текст джерелаPanicker, Rekha Manoj. "Some general convergence theorems on fixed points." Thesis, Rhodes University, 2014. http://hdl.handle.net/10962/d1013112.
Повний текст джерелаMorris, David. "Extending local analytic conjugacies between parabolic fixed points." Thesis, University of Warwick, 2017. http://wrap.warwick.ac.uk/102605/.
Повний текст джерелаJeganathan, P. "Fixed points for nonexpansive mappings in Banach spaces." Master's thesis, University of Cape Town, 1991. http://hdl.handle.net/11427/17067.
Повний текст джерелаLanzagorta, Marco. "Infra-red fixed points in supersymmetric Grand Unified theories." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.318836.
Повний текст джерелаSimms, R. "Exploring higher dimensional quantum field theories through fixed points." Thesis, University of Liverpool, 2018. http://livrepository.liverpool.ac.uk/3028491/.
Повний текст джерелаKretz, Mathis. "Proof-theoretic aspects of modal logic with fixed points /." Bern : [s.n.], 2006. http://www.zb.unibe.ch/download/eldiss/06kretz_m.pdf.
Повний текст джерелаWimmer, Christian [Verfasser]. "Rational global homotopy theory and geometric fixed points / Christian Wimmer." Bonn : Universitäts- und Landesbibliothek Bonn, 2017. http://d-nb.info/1149744863/34.
Повний текст джерелаDoumane, Amina. "On the infinitary proof theory of logics with fixed points." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC123/document.
Повний текст джерелаThe subject of this thesis is the proof theory of logics with fixed points, such as the μ-calculus,linear-logic with fixed points, etc. These logics are usually equipped with finitary deductive systemsthat rely on Park’s rules for induction. other proof systems for these logics exist, which relyon infinitary proofs, but they are much less developped. This thesis contributes to reduce thisdeficiency by developing the infinitary proof-theory of logics with fixed points, with two domainsof application in mind: programming languages with (co)inductive data types and verification ofreactive systems.This thesis contains three parts. In the first part, we recall the two main approaches to theproof theory for logics with fixed points: the finitary and the infinitary one, then we show theirrelationships. In the second part, we argue that infinitary proofs have a true proof-theoreticalstatus by showing that the multiplicative additive linear-logic with fixed points admits focalizationand cut-elimination. In the third part, we apply our proof-theoretical investigations to obtain aconstructive proof of completeness for the linear-time μ-calculus w.r.t. Kozen’s axiomatization
Matevosyan, Norayr. "Tangential Touch Between Free And Fixed Boundaries." Doctoral thesis, KTH, Mathematics, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3559.
Повний текст джерелаOkuyama, Yusuke. "Non-linearizability of n-subhyperbolic polynomials at irrationally indifferent fixed points." 京都大学 (Kyoto University), 2001. http://hdl.handle.net/2433/150899.
Повний текст джерелаQi, Xiaomin. "Fixed points, fractals, iterated function systems and generalized support vector machines." Licentiate thesis, Mälardalens högskola, Utbildningsvetenskap och Matematik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:mdh:diva-33511.
Повний текст джерелаFUSION
Stofile, Simfumene. "Fixed points of single-valued and multi-valued mappings with applications." Thesis, Rhodes University, 2013. http://hdl.handle.net/10962/d1002960.
Повний текст джерелаJohnston, Kevin Gregory. "Periodic Points and Surfaces Given by Trace Maps." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/5985.
Повний текст джерелаMartino, Armando. "On automorphisms of free groups and free products and their fixed points." Thesis, Queen Mary, University of London, 1998. http://qmro.qmul.ac.uk/xmlui/handle/123456789/25565.
Повний текст джерелаPrellberg, Thomas. "Maps of intervals with indifferent fixed points: thermodynamic formalism and phase transitions." Diss., Virginia Tech, 1991. http://hdl.handle.net/10919/39862.
Повний текст джерелаNel-Sakharova, Natasha. "Development of high temperature fixed points for application in radiometry and thermometry." Diss., University of Pretoria, 2015. http://hdl.handle.net/2263/53540.
Повний текст джерелаDissertation (MSc)--University of Pretoria, 2015.
Physics
MSc
Unrestricted
CARNEVALE, JOAO MIRANDA. "GROUPS OF HOMEOMORPHISMS OF THE LINE WITH A FINITE NUMBER OF FIXED POINTS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2018. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=36893@1.
Повний текст джерелаCOORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR
PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTITUIÇÕES COMUNITÁRIAS DE ENSINO PARTICULARES
Temos como objetivo principal classificar, a menos de semi-conjugação, os grupos de homeomorfismos crescentes da reta, com no máximo N pontos fixos. Começando pelos casos já classificados, N igual a 0 pelo Teorema de Holder e N igual a 1 pelo Teorema de Solodov, nosso próximo passo será classificar o caso N igual a 2. Para isso, iremos introduzir a noção de Abertura de Órbita como uma semi-conjugação dos grupos de homeomorfismos.
We have as main objective to classify, by semi-conjugation, the groups of increasing homeomorphisms of the line, with at most N fixed points. Starting with the cases already classified, N equal to 0 by Holder s Theorem and N equal to 1 by Solodov s Theorem, our next step will be to classify the case N equal to 2. For this, we will introduce the notion of Orbital Opening as a semiconjugation of the groups of homeomorphisms.
Kalghatgi, Roshan Satish. "Reconstruction techniques for fixed 3-D lines and fixed 3-D points using the relative pose of one or two cameras." Thesis, Georgia Institute of Technology, 2012. http://hdl.handle.net/1853/43590.
Повний текст джерелаFarmer, Matthew Ray. "Applications in Fixed Point Theory." Thesis, University of North Texas, 2005. https://digital.library.unt.edu/ark:/67531/metadc4971/.
Повний текст джерелаErsoy, Kıvanç [Verfasser]. "Centralizers and Fixed Points of Automorphisms in Finite and Locally Finite Groups / Kıvanç Ersoy." Berlin : Freie Universität Berlin, 2020. http://nbn-resolving.de/urn:nbn:de:kobv:188-refubium-26475-9.
Повний текст джерелаNisbet, Kenneth Charles. "Dynamics of mappings of the plane and of the circle." Thesis, University of Edinburgh, 1989. http://hdl.handle.net/1842/15533.
Повний текст джерелаSkjelnes, Roy Mikael. "On Hilbert schemes parameterizing points on the affine line having support in a fixed subset." Doctoral thesis, KTH, Matematik, 2000. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-2935.
Повний текст джерелаGarcia, Ignacio de Mateo. "Iterative matrix-free computation of Hopf bifurcations as Neimark-Sacker points of fixed point iterations." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2012. http://dx.doi.org/10.18452/16478.
Повний текст джерелаClassical methods for the direct computation of Hopf bifurcation points and other singularities rely on the evaluation and factorization of Jacobian matrices. In view of large scale problems arising from PDE discretization systems of the form f( x (t), α ), for t bigger than 0, where x are the state variables, α are certain parameters and f is smooth with respect to x and α, a matrix-free scheme is developed based exclusively on Jacobian-vector products and other first and second derivative vectors to obtain the critical parameter α causing the loss of stability at the Hopf point. In the present work, a system of equations is defined to locate Hopf points, iteratively, extending the system equations with a scalar test function φ, based on a projection of the eigenspaces. Since the system f arises from a spatial discretization of an original set of PDEs, an error correction considering the different discretization procedures is presented. To satisfy the Hopf conditions a single parameter is adjusted independently or simultaneously with the state vector in a deflated iteration step, reaching herewith both: locating the critical parameter and accelerating the convergence rate of the system. As a practical experiment, the algorithm is presented for the Hopf point of a brain cell represented by the FitzHugh-Nagumo model. It will be shown how for a critical current, the membrane potential will present a travelling wave typical of an oscillatory behaviour.
Nowak, Boris [Verfasser], and Thomas [Akademischer Betreuer] Gasenzer. "Non-thermal fixed points and superfluid turbulence in ultracold quantum gases / Boris Nowak ; Betreuer: Thomas Gasenzer." Heidelberg : Universitätsbibliothek Heidelberg, 2012. http://d-nb.info/1177040301/34.
Повний текст джерелаTan, Wah Lay, Lok-tin Wong, 陳華麗, and 黃洛天. "A systematic review of post-extractional alveolar hard and soft tissue dimensional changes in humans : comparison of studies with non-fixed or fixed reference points." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2011. http://hub.hku.hk/bib/B48395456.
Повний текст джерелаpublished_or_final_version
Dental Surgery
Master
Master of Dental Surgery
Sauma, Perez Tania Javiera. "An experimental study on the motion and fixed points of a light sphere in a Stokes' flow." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/an-experimental-study-on-the-motion-and-fixed-points-of-a-light-sphere-in-a-stokes-flow(b91c1a33-6cd4-4d64-a750-5e9ea3c3be76).html.
Повний текст джерелаChantesana, Isara [Verfasser], and Thomas [Akademischer Betreuer] Gasenzer. "Strong Wave Turbulence and Non-Thermal Fixed Points in a Kinetic Theory / Isara Chantesana ; Betreuer: Thomas Gasenzer." Heidelberg : Universitätsbibliothek Heidelberg, 2018. http://d-nb.info/1177691302/34.
Повний текст джерелаOstapyuk, Olena. "Backward iteration in the unit ball." Diss., Kansas State University, 2011. http://hdl.handle.net/2097/11931.
Повний текст джерелаDepartment of Mathematics
Pietro Poggi-Corradini
We consider iteration of an analytic self-map f of the unit ball in the N-dimensional complex space C[superscript]N. Many facts were established about such maps and their dynamics in the 1-dimensional case (i.e. for self-maps of the unit disk), and we generalize some of them in higher dimensions. In one dimension, the classical Denjoy-Wolff theorem states the convergence of forward iterates to a unique attracting fixed point, while backward iterates have much more complicated nature. However, under additional conditions (when the hyperbolic distance between two consecutive points stays bounded), backward iteration sequence converges to a point on the boundary of the unit disk, which happens to be a fixed point with multiplier greater than or equal to 1. In this paper, we explore backward-iteration sequences in higher dimension. Our main result shows that in the case when f is hyperbolic or elliptic, such sequences with bounded hyperbolic step converge to a point on the boundary, other than the Denjoy-Wolff (attracting) point. These points are called boundary repelling fixed points (BRFPs) and possess several nice properties. In particular, in the case when such points are isolated from other BRFPs, they are completely characterized as limits of backward iteration sequences. Similarly to classical results, it is also possible to construct a (semi) conjugation to an automorphism of the unit ball. However, unlike in the 1-dimensional case, not all BRFPs are isolated, and we present several counterexamples to show that. We conclude with some results in the parabolic case.
Vargas, Walter Teofilo Huaraca. ""Sobre a existência de pontos periódicos para homeomorfismos do anel fechado"." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-28082006-151440/.
Повний текст джерелаThe well known Poincaré's Theorem state: The rotation number of an orientation preserving circle homeomorphism is rational if, only if, the homeomorphism has a periodic point of period equal to denominator of the rational. In this monograph we study results analogous, to the result above mentioned, for homeomorphisms of A=S^1 x I homotophics to the identity. More precisely, we study the famous Poincaré - Birkhoff Theorem and some versions obtained by J. Franks. This it will be done imposing some conditions in the rotation set, which is generalization of the rotation number for circle homeomorphisms.
Moch, Kevin [Verfasser], Gudrun [Akademischer Betreuer] Hiller, and Daniel F. [Gutachter] Litim. "Fixed points in supersymmetric extensions of the Standard Model / Kevin Moch ; Gutachter: Daniel F. Litim ; Betreuer: Gudrun Hiller." Dortmund : Universitätsbibliothek Dortmund, 2020. http://d-nb.info/1217843574/34.
Повний текст джерелаMasters, Anthony. "Rearrangements and vortices." Thesis, University of Bath, 2014. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.619240.
Повний текст джерелаBorn, Stefan [Verfasser]. "Critical point theory for symmetries with fixed points = Theorie kritischer Punkte für Symmetrien mit Fixpunkten [[Elektronische Ressource]] / Stefan Born." Gießen : Universitätsbibliothek, 2011. http://d-nb.info/1063111242/34.
Повний текст джерелаBond, Andrew David. "Weakly coupled fixed points and interacting ultraviolet completions of vanilla quantum field theories, or, Better asymptotically safe than asymptotically sorry." Thesis, University of Sussex, 2018. http://sro.sussex.ac.uk/id/eprint/80674/.
Повний текст джерелаKeawprasert, Thada [Verfasser], and Stephan [Akademischer Betreuer] Völker. "Monochromator-based absolute calibration of radiation thermometers for thermodynamic temperature measurements of high-temperature fixed-points / Thada Keawprasert. Betreuer: Stephan Völker." Berlin : Universitätsbibliothek der Technischen Universität Berlin, 2011. http://d-nb.info/1014971705/34.
Повний текст джерелаMalik, Zohaib. "Modelling the freezing behaviour of ITS-90 metal fixed points for better understanding of the influence of impurities and thermal effects." Thesis, Imperial College London, 2012. http://hdl.handle.net/10044/1/10225.
Повний текст джерелаSchmied, Christian-Marcel [Verfasser], and Thomas [Akademischer Betreuer] Gasenzer. "Universal scaling dynamics at non-thermal fixed points in multi-component Bose gases far from equilibrium / Christian-Marcel Schmied ; Betreuer: Thomas Gasenzer." Heidelberg : Universitätsbibliothek Heidelberg, 2020. http://d-nb.info/1212729404/34.
Повний текст джерелаSalustiano, Helena Paula Rufino. "Caos e fractais na sala de aula." Master's thesis, Universidade de Évora, 2010. http://hdl.handle.net/10174/19963.
Повний текст джерелаGalves, Ana Paula Tremura. "O teorema de Lefschetz-Hopf e sua relação com outros teoremas clássicos da topologia /." São José do Rio Preto : [s.n.], 2009. http://hdl.handle.net/11449/94208.
Повний текст джерелаBanca: Denise de Mattos
Banca: Ermínia de Lourdes Campello Fanti
Resumo: Em Topologia, mais especificamente em Topologia Algébrica, temos alguns resultados clássicos que de alguma forma estão relacionados. No desenvolvimento deste trabalho, estudamos alguns desses resultados, a saber: Teorema de Lefschetz-Hopf, Teorema do Ponto Fixo de Lefschetz, Teorema do Ponto Fixo de Brouwer, Teorema da Curva de Jordan e o Teorema Clássico de Borsuk-Ulam. Além disso, tivemos como objetivo principal mostrar relações existentes entre esses teoremas a partir do Teorema de Lefschetz-Hopf.
Abstract: In Topology, more specifically in Algebraic Topology, we have some classical results that are in some way related. In developing this work, we studied some of these results, namely the Lefschetz-Hopf Theorem, the Lefschetz Fixed Point Theorem, the Brouwer Fixed Point Theorem, the Jordan Curve Theorem and the Classic Borsuk-Ulam Theorem. Moreover, our main objective was to show relationships among those theorems by using Lefschetz-Hopf Theorem.
Mestre
Tang, Shun. "Le théorème de concentration et la formule des points fixes de Lefschetz en géométrie d’Arakelov." Thesis, Paris 11, 2011. http://www.theses.fr/2011PA112015/document.
Повний текст джерелаIn the nineties of the last century, R. W. Thomason proved a concentrationtheorem for the algebraic equivariant K-theory on the schemes which are endowed withan action of a diagonalisable group scheme G. As usual, such a concentration theoreminduces a fixed point formula of Lefschetz type which can be used to calculate theequivariant Euler-Poincaré characteristic of a coherent G-sheaf on a proper G-schemein terms of a characteristic on the fixed point subscheme. It is the aim of this thesis togeneralize R. W. Thomason’s results to the context of Arakelov geometry. In this work,we consider the arithmetic schemes in the sense of Gillet-Soulé and we first prove anarithmetic analogue of the concentration theorem for the arithmetic schemes endowedwith an action of the diagonalisable group scheme associated to Z/nZ. The proof is acombination of the algebraic concentration theorem and some analytic arguments. Inthe last chapter, we formulate and prove two kinds of arithmetic Lefschetz formulae.These two formulae give a positive answer to two conjectures made by K. Köhler, V.Maillot and D. Rössler
CURCINO, Alexandre. "Avifauna em áreas de mineração: diversidade e conservação em Niquelândia e Barro Alto GO." Universidade Federal de Goiás, 2011. http://repositorio.bc.ufg.br/tede/handle/tde/2636.
Повний текст джерелаIn the fixed point methodology, the observer remains for a predetermined time, recording all birds registered by observation or hearing. Widely used in temperate regions, the methodology has been used in Brazil, where it has suffered adaptations through the years. Whereas the current studies show different sampling times of methodology (10, 15 and 20 min), the aim of this survey was to compare the birds richness estimated for the sampling times of 10 and 20 minutes, in cerrado, gallery forest and vereda, in the regions of Niquelândia and Barro Alto - Goias and verify the effectiveness of bird detections per hour of study for different sampling situations and travel times between fixed points. The survey in Niquelândia occurred in 2007 and 2008. Barro Alto, in the years 2008 and 2009. At each location were established 20 point counts, and sampled five points between 6h00min and 8h40min. The points were drawn for 10 min and 20 min sampling . The results suggest that the researcher who remains 10 min at each point obtain the same statistical results that the researcher who remains 20 min at each point. The species detection efficiency is related to the balance in the choice of sampling time and displacement in order to increase the chances of finding rare species, and at the same time, maximize the number of detections.
Na metodologia de pontos fixos, o observador permanece parado por um tempo pré-determinado, anotando todas as aves registradas por observação ou audição Amplamente utilizada em regiões de clima temperado, a metodologia tem sido utilizada no Brasil, onde sofreu adaptações ao longo dos anos. Considerando que os estudos atuais apresentam diferentes tempos de amostragem para a metodologia de pontos fixos (em geral 10, 15 e 20 min), nosso objetivo foi comparar a riqueza de aves estimada para os tempos de amostragem de 10 e 20 minutos de permanência em cada ponto, em seis fitofisionomias de Cerrado e estimar a eficiência de detecções de aves por hora de estudo, com base no tempo de deslocamento e no tempo de permanência nos pontos. Foram realizadas 12 campanhas nas regiões de Niquelândia GO e 12 campanhas em Barro Alto GO. Em Niquelândia, as coletas ocorreram em 2007 e 2008. Em Barro Alto, nos anos de 2008 e 2009. Em cada local foram estabelecidos 20 pontos de observação, sendo amostrados cinco pontos após sorteio prévio, entre 6h00min e 8h40min. Os pontos foram sorteados de modo a alternarem amostragens de 10 min e de 20 min. Os resultados sugerem que o pesquisador que opta por permanecer 10 min em cada ponto obterá, ao final da amostragem, um número estatisticamente equivalente de novas espécies que o obtido pelo pesquisador que opta por permanecer 20 min em cada ponto. A eficiência de detecções de espécies está relacionada ao equilíbrio na escolha do tempo de amostragem e deslocamento de modo a aumentar as chances de encontrar espécies raras e, ao mesmo tempo, maximizar o número de detecções como um todo.
Sera, Toru. "Functional limit theorem for occupation time processes of intermittent maps." Kyoto University, 2020. http://hdl.handle.net/2433/259719.
Повний текст джерелаMateo, Garcia Ignacio de [Verfasser], Andreas [Akademischer Betreuer] Griewank, Nicolas R. [Akademischer Betreuer] Gauger, and Willy J. F. [Akademischer Betreuer] Govaerts. "Iterative matrix-free computation of Hopf bifurcations as Neimark-Sacker points of fixed point iterations / Ignacio de Mateo Garcia. Gutachter: Andreas Griewank ; Nicolas R. Gauger ; Willy J. F. Govaerts." Berlin : Humboldt Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2012. http://d-nb.info/1020871148/34.
Повний текст джерелаGalves, Ana Paula Tremura [UNESP]. "O teorema de Lefschetz-Hopf e sua relação com outros teoremas clássicos da topologia." Universidade Estadual Paulista (UNESP), 2009. http://hdl.handle.net/11449/94208.
Повний текст джерелаCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
Em Topologia, mais especificamente em Topologia Algébrica, temos alguns resultados clássicos que de alguma forma estão relacionados. No desenvolvimento deste trabalho, estudamos alguns desses resultados, a saber: Teorema de Lefschetz-Hopf, Teorema do Ponto Fixo de Lefschetz, Teorema do Ponto Fixo de Brouwer, Teorema da Curva de Jordan e o Teorema Clássico de Borsuk-Ulam. Além disso, tivemos como objetivo principal mostrar relações existentes entre esses teoremas a partir do Teorema de Lefschetz-Hopf.
In Topology, more specifically in Algebraic Topology, we have some classical results that are in some way related. In developing this work, we studied some of these results, namely the Lefschetz-Hopf Theorem, the Lefschetz Fixed Point Theorem, the Brouwer Fixed Point Theorem, the Jordan Curve Theorem and the Classic Borsuk-Ulam Theorem. Moreover, our main objective was to show relationships among those theorems by using Lefschetz-Hopf Theorem.
Bethke, Matthias. "Approximation von Fixpunkten streng pseudokontraktiver Operatoren." Pädagogogische Hochschule “Liselotte Herrmann” Güstrow, 1989. https://slub.qucosa.de/id/qucosa%3A73375.
Повний текст джерелаThis article gives a generalization of an approximation theorem by Chidume / 6 / for strictly pseudocontractive operators in Lp or lp spaces (with P = 2). We consider a method, which MANN / 14 / had introduced for real functions.
Boutaud, Pierre. "Branching random walk : limit cases and minimal hypothesis." Thesis, université Paris-Saclay, 2020. http://www.theses.fr/2020UPASM025.
Повний текст джерелаThe branching random walk is a particle system on the real line starting at time 0 with an initial particle at position 0, then each particle living at time n proceeds to die at time n+1 and give birth, independently from the other particles of generation n, to a random number of particles at random positions. In a first chapter, we define in details the branching random walk model and some key elements of the scientific research on this model, including the study of the additive martingale. This martingale can be stuided through its convergence towards a limit that may be trivial, raising the question of an appropriate scaling, called Seneta-Heyde sclaing, in the case the limit is trivial. The additive martingale can also be studied with stochastic recursive equations lezading to fixed points equations in law. This latter question is adressed in some unpublished works from the first year of PhD, in continuioty with works from the masters thesis. The second chapter is a translation in english of some sections of the preivous chapter so that every reader can grasp the key elements and goals of this manuscript.In a third chapter, we present a new proof developed with Pascal Maillard for Aîdékon and Shi's theorem on the Seneta-Heyde scaling of the critical additive martingale in the finite variance case. This new proof no longer need a peeling lemma and the use of second moment arguments and prefers studying the conditional Laplace transform. the properties of some renewal functions allow a much more general approach without the need to foucs to much on the derivative martingale. This is also illustrated in a fourth chapter where in new works with Pascal Maillard, we find the Seneta-Heyde scaling for the critical additive martingale in the case where the spinal random walk is in the attraction domain of a stable law. We then observe that the renewal functions provide us with a better suited candidate for this study than the derivative artingale, which is no longer always a martingale in this context.Finally, the fifth chapter focus on the question of the optimality of the assumptions made in the preivous chapter concerning the non-triviality of the limit obtained with the Seneta-Heyde scaling
Sendrowski, Janek. "Feigenbaum Scaling." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-96635.
Повний текст джерелаJoshi, Nishant. "Universality and Individuality in Recurrent Networks extended to Biologically inspired networks." Thesis, KTH, Skolan för elektroteknik och datavetenskap (EECS), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-294208.
Повний текст джерелаAktiviteter i motorisk cortex visar sig vara dynamiska till sin natur. Att modellera dessa aktiviteter och jämföra dem med neurala inspelningar hjälper till att förstå den underliggande mekanismen för generering av dessa aktiviteter. För detta ändamål har återkommande neurala nätverk eller RNN uppstått som ett lämpligt verktyg. En tydlig förståelse för hur designvalen associerade med dessa nätverk påverkar den inlärda dynamiken och den interna representationen är fortfarande svårfångad. Ett tidigare arbete som utforskar de dynamiska egenskaperna hos diskreta RNN- arkitekturer (LSTM, UGRNN, GRU och Vanilla), såsom fastpunkts topologi och linjäriserad dynamik, förblir oförändrad när de tränas på 3-bitars Flip- Flop-uppgift. Däremot visar de att dessa nätverk har unik representationsgeometri. Målet för detta arbete är att förstå om dessa observationer också gäller för nätverk som är mer biologiskt realistiska när det gäller neural aktivitet. Därför valde vi att analysera hastighetsnätverk som har kontinuerlig dynamik och biologiskt realistiska anslutningsbegränsningar och på spikande neurala nätverk, där neuronerna kommunicerar via diskreta spikar som observerats i hjärnan. Vi reproducerar den ovannämnda studien för diskreta arkitekturer och visar sedan att fastpunkts topologi och linjäriserad dynamik förblir oförändrad för hastighetsnätverken men metoderna är otillräckliga för att hitta de fasta punkterna för spiknätverk. Representationsgeometrin för hastighetsnätverk och spiknätverk har visat sig skilja sig från de diskreta arkitekturerna men liknar varandra. Även om en liten delmängd av diskreta arkitekturer (LSTM) observeras vara nära i förhållande till hastighetsnäten. Vi visar att även om dessa olika nätverksarkitekturer med varierande grad av biologisk realism har individuella interna representationer, är den underliggande dynamiken under uppgiften universell. Vi observerar också att vissa diskreta nätverk har nära representationslikheter med hastighetsnätverk tillsammans med dynamiken. Följaktligen kan dessa diskreta nätverk vara bra kandidater för att reproducera och undersöka dynamiken i hastighetsnät.
Aguirre, John David Gómez. "Consequences of a dynamical gluon mass." reponame:Repositório Institucional da UFABC, 2017.
Знайти повний текст джерелаTese (doutorado) - Universidade Federal do ABC, Programa de Pós-Graduação em Física, 2017.
Na literatura encontramos argumentos tanto fenomenológicos quanto teóricos que favorecem o congelamento da constante de acoplamento da QCD a valores moderados no regime infravermelho. O acoplamento pode ser parametrizado em termos de uma massa efetiva para o gluon (mg) obtida dinamicamente através das equações de Schwinger- Dyson, cuja soluções são compatíveis com as simulações da QCD na rede. Primeiro nós consideramos o processo de aniquilação elétron-pósitron em hádrons Re+e- até O(3s) e adotamos o método de smearing sugerido por Poggio, Quinn e Weinberg para confrontar os dados experimentais com a teoria. Nós vamos usar como modelo teórico a QCD com uma constante de acoplamento finita no regime de baixas energias. Para encontrar o melhor fit entre os dados experimentais e teóricos, nós realizamos um test de 2, que dentro das incertezas do modelo , tem um valor mínimo quando mg=QCD está entre 1.2 - 1.4. Esses valores concordam com outras determinações fenomenológicas da razão mg=QCD e levam a uma carga efetiva s(0) 0.7. Nós comentamos como essas cargas efetivas poderiam afetar a escala de massa da dualidade global, a qual indica a fronteira entre a física perturbativa e não perturbativa. Calculamos tanto o potencial efetivo aprimorado no caso da QED escalar e da QCD com um escalar sem cor, como também a evolução do acoplamento escalar do Higgs () no Modelo Padrão. Em ambos os casos consideramos pontos fixos. No caso da QCD com o escalar sem carga de cor tanto a barreira associada ao polo de Landau quanto o mínimo do potencial mudam. Por outro lado, encontramos que a existência dos pontos fixos não perturbativos no infravermelho movem a evolução do acoplamento escalar na direcção da estabilidade. Para certos valores da constante de acoplamento da QCD no infravermelho, o potencial do Modelo Padrão pode ficar estável até a escala de Planck.
Several phenomenological and theoretical arguments favor a freezing of the Quantum Chromodynamics (QCD) coupling constant in the infrared region at one moderate value. This coupling can be parameterized in terms of an effective dynamical gluon mass (mg) which is determined through Schwinger-Dyson equations, whose solutions are compatible with QCD lattice simulations. First we consider the electron-positron annihilation process into hadrons Re+e- up to O(3s) and we adopt the smearing method suggest by Poggio, Quinn and Weinberg to confront the experimental data with theory. As a theoretical model we use the aforementioned QCD coupling constant frozen in the low energy regime. In order to find the best fit between experimental data and theory we perform a 2 study, that, within the uncertainties of the approach, has a minimum value when mg=QCD is in the range 1.2 - 1.4. These values are in agreement with other phenomenological determinations of this ratio and lead to an infrared effective charge s(0) 0.7. We comment how this effective charge may affect the global duality mass scale that indicates the frontier between perturbative and nonperturbative physics. We also compute the improved effective potential in the case of scalar QED and QCD with a colorless scalar and compute the Standard Model scalar boson Higgs coupling () evolution. In both cases we consider fixed points. In the case of QCD with a colorless scalar not only the barrier associated to the Landau pole is changed but the local minimum of the potential is also changed. On the other hand we find that the existence of such nonperturbative infrared fixed point moves the evolution towards stability. For the phenomenological preferred IR value of the QCD coupling constant the standard model Higgs potential may be stable up to the Planck scale.