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Dissertations / Theses on the topic 'Torus topology'

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Published: 10 December 2022
Last updated: 28 January 2023

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1

Ritchey, Katherine. "Computational Topology for Configuration Spaces of Disks in a Torus." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1562945889197152.

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2

Nguyenhuu, Rick Hung. "Torus embedding and its applications." CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/1572.

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3

Barker, Stephen J. "Interchanging Two Notations for Double-torus Links." Digital Commons @ East Tennessee State University, 2016. https://dc.etsu.edu/etd/2616.

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Knot theory is a relatively young branch of mathematics, still less than a century old. The development of the Jones polynomial in 1984 led to increased activity in knot theory. Though work is constantly being done in this field, notably the classification of torus knots, double-torus knots are still lacking such a complete understanding. There exists two notations, those of Rick Norwood and of Peter Hill, that describe knots on the double-torus. The ambition of this thesis is to begin to make the case that it is possible to render these two notations interchangeable. Illustrating this will require examining the two notations and finding a way to change one into the other, then check if this process is reversible. If not, then proceed to develop a method that works to convert the second notation back to the first.
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4

La, Fleur Stephen J. "Some fundamentals for Nielsen theory on torus configuration spaces." abstract and full text PDF (free order & download UNR users only), 2008. http://0-gateway.proquest.com.innopac.library.unr.edu/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1453597.

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5

Osborne, Joshua C. P. "Eigenspectra for Correlating Cosmic Microwave Background Temperature Data." Case Western Reserve University School of Graduate Studies / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=case1544180098307733.

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6

Wyld, Kira A. "Sudoku Variants on the Torus." Scholarship @ Claremont, 2017. http://scholarship.claremont.edu/hmc_theses/103.

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This paper examines the mathematical properties of Sudoku puzzles defined on a Torus. We seek to answer the questions for these variants that have been explored for the traditional Sudoku. We do this process with two such embeddings. The end result of this paper is a deeper mathematical understanding of logic puzzles of this type, as well as a fun new puzzle which could be played.
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7

Barbos, Aneta E. [Verfasser]. "Energy decay law in n-dimensional Gowdy spacetimes with torus topology / Aneta Barbos." Berlin : Freie Universität Berlin, 2010. http://d-nb.info/102508800X/34.

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8

Butler, Joe R. "The Torus Does Not Have a Hyperbolic Structure." Thesis, University of North Texas, 1992. https://digital.library.unt.edu/ark:/67531/metadc500333/.

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Several basic topics from Algebraic Topology, including fundamental group and universal covering space are shown. The hyperbolic plane is defined, including its metric and show what the "straight" lines are in the plane and what the isometries are on the plane. A hyperbolic surface is defined, and shows that the two hole torus is a hyperbolic surface, the hyperbolic plane is a universal cover for any hyperbolic surface, and the quotient space of the universal cover of a surface to the group of automorphisms on the covering space is equivalent to the original surface.
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9

Bellanco, Olivia. "Articulation topologique de la clinique." Thesis, Paris 8, 2018. http://www.theses.fr/2018PA080039.

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Nous retracerons le parcours de la topologie dans l’enseignement lacanien : de la topologie algébrique, nous traiterons des figures topologiques (tore, bande de Mœbius, bouteille de Klein, cross-cap) pour en arriver à la topologie nodale dont le paradigme est le nœud borroméen. Nous considérerons alors les conséquences théoriques qu’elle implique : de l’inconscient freudien ou l’inconscient symbolique nous passerons à l’inconscient réel et l’une-bévue, et du symptôme nous envisagerons le sinthome et sa logique. Nous affinerons ainsi le double rapport du sujet au signifiant et à la jouissance mettant en avant l’importance du corps pris comme vivant. Pour ce faire, nous étudierons plus précisément le rapport du sujet au trou, manque fondamental qui le constitue, à la fois extérieur et intérieur. Nous verrons comment, dans son creux et dans ses bords, le sujet y loge sa singularité, son « x ». Nous l’articulerons à la clinique afin de révéler l’apport qu’elle représente dans la pratique
We will trace the course of topology in Lacan’s teaching: from algebraic topology, where we will deal with topological surfaces (torus, Moebius strip, Klein bottle, cross-cap) we will reach topology whose paradigm is the Borromean knot. We will then consider the theoretical consequences implied: from the Freudian unconscious or symbolic unconscious we will move to the real unconscious and the une-bévue, and from the symptom we will consider the sinthome and its logic. We will refine the dual relationship of the subject to signifier and Jouissance, and highlight the importance of the body as living. To do this, we will study more precisely the relationship of the subject to the hole, a fundamental lack that constitutes him, both exterior and interior. We will see how, in its hollow and its edges, the subject lodges its singularity, its "x". We will link it to clinic to reveal the contribution of topology in practice
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10

Heathcote, Jonathan David. "Building and operating large-scale SpiNNaker machines." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/building-and-operating-largescale-spinnaker-machines(6151916a-ed71-42e4-97d2-2993a4caf5f6).html.

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SpiNNaker is an unconventional supercomputer architecture designed to simulate up to one billion biologically realistic neurons in real-time. To achieve this goal, SpiNNaker employs a novel network architecture which poses a number of practical problems in scaling up from desktop prototypes to machine room filling installations. SpiNNaker's hexagonal torus network topology has received mostly theoretical treatment in the literature. This thesis tackles some of the challenges encountered when building `real-world' systems. Firstly, a scheme is devised for physically laying out hexagonal torus topologies in machine rooms which avoids long cables; this is demonstrated on a half-million core SpiNNaker prototype. Secondly, to improve the performance of existing routing algorithms, a more efficient process is proposed for finding (logically) short paths through hexagonal torus topologies. This is complemented by a formula which provides routing algorithms with greater flexibility when finding paths, potentially resulting in a more balanced network utilisation. The scale of SpiNNaker's network and the models intended for it also present their own challenges. Placement and routing algorithms are developed which assign processes to nodes and generate paths through SpiNNaker's network. These algorithms minimise congestion and tolerate network faults. The proposed placement algorithm is inspired by techniques used in chip design and is shown to enable larger applications to run on SpiNNaker than the previous state-of-the-art. Likewise the routing algorithm developed is able to tolerate network faults, inevitably present in large-scale systems, with little performance overhead.
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11

Kailasvuori, Janik. "Quasiparticles in the Quantum Hall Effect." Doctoral thesis, Stockholm : Department of Physics, Stockholm University, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-1250.

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12

Mienné, Michaël. "Tours de Postnikov et invariants de Postnikov pour les opérades simpliciales." Thesis, Lille 1, 2018. http://www.theses.fr/2018LIL1I077/document.

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Nous adaptons la définition des sections de Postnikov et des tours de Postnikov des ensembles simpliciaux aux opérades simpliciales. Nous définissons ensuite des foncteurs de cotroncation afin de filtrer la tour de Postnikov d’une opérade simpliciale par les arités et former ainsi la double tour de Postnikov de cette opérade. Nous introduisons un nouveau type d’opérade, les gamma-opérades, où gamma désigne une opérade dans les groupoïdes. Nous les utilisons pour modéliser l’action de l’opérade groupoïde fondamental d’une opérade simpliciale sur ses groupes d’homotopies et son revêtement universel. Nous munissons la catégorie des gamma-opérades d’ensembles simpliciaux d’une structure de catégorie modèle. D’autre part, nous montrons que les gamma-opérades dans la catégorie des groupes abéliens munie de la structure monoïdale induite par la somme directe forment une catégorie abélienne. Cette catégorie abélienne fournit les coefficients pour la cohomologie équivariante opéradique que nous étudions ensuite. Une version relative de cette cohomologie est également étudiée. Nous définissons alors les invariants de Postnikov d’une opérade simpliciale. Ce sont des classes de cohomologie équivariante opéradique qui permettent de reconstruire inductivement et à homotopie près une opérade simpliciale à l’aide de sa double tour. Ce processus de reconstruction est utilisé afin de développer une théorie de l’obstruction pour les opérades simpliciales : on peut étendre un morphisme d’opérades simpliciales le long d’une cofibration si et seulement une suite de classes de cohomologie équivariante opéradique relative définie inductivement est nulle
We adapt the definition of Postnikov sections and Postnikov towers of simplicial sets to simplicial operads. We then define cotruncation functors in order to filter the Postnikov tower of a simplicial operad by arity and form the Postnikov double tower of this operad. We introduce a new kind of operad, the gamma-operads with gamma a groupoid operad. We use them to model the action of the fundamental groupoid operad of a simplicial operad on its homotopy groups and its universal covering. We equip the category of gamma-operad in simplicial sets with a model structure. We also prove that the gamma-operads in the category of abelian group equipped with the monoidal structure induced by the direct sum form an abelian category. This abelian category provides the coefficients for the operadic equivariant cohomology we study afterward. Furthermore, we study a relative version of this cohomology. We thereafter define the Postnikov invariants of a simplicial operad. These are operadic equivariant cohomology classes which permit to reconstruct inductively and up to homotopy a simplicial operad by the mean of its double tower. This reconstruction process is used to develop an obstruction theory for simplicial operads : a simplicial operad morphism can be extended along a cofibration if an only if a sequence of relative operadic equivariant cohomology classes defined inductively vanishes
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13

Bakewell, Katie. "Self-Assembly of DNA Graphs and Postman Tours." UNF Digital Commons, 2018. https://digitalcommons.unf.edu/etd/857.

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DNA graph structures can self-assemble from branched junction molecules to yield solutions to computational problems. Self-assembly of graphs have previously been shown to give polynomial time solutions to hard computational problems such as 3-SAT and k-colorability problems. Jonoska et al. have proposed studying self-assembly of graphs topologically, considering the boundary components of their thickened graphs, which allows for reading the solutions to computational problems through reporter strands. We discuss weighting algorithms and consider applications of self-assembly of graphs and the boundary components of their thickened graphs to problems involving minimal weight Eulerian walks such as the Chinese Postman Problem and the Windy Postman Problem.
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14

Chandelier, Frédéric. "Quelques applications de la théorie des champs à la physique de la matière condensée : l'effet Hall quantique dans tous ses états." Phd thesis, Université Paris Sud - Paris XI, 2003. http://tel.archives-ouvertes.fr/tel-00005442.

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15

Hok, Jean-Marc. "1-cocycles pour les n-tresses fermées dans le tore solide qui sont des nœuds et algorithmes de calculs." Thesis, Toulouse 3, 2021. http://www.theses.fr/2021TOU30022.

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Ce manuscrit est un travail qui s'inscrit dans le cadre de la topologie, de l'algèbre, de la combinatoire et de la programmation. Plus précisément, c'est une thèse en théorie des noeuds. L'objectif de ce travail est de fournir une famille d'invariants permettant de distinguer les 4-tresses qui sont des noeuds (une famille particulière de noeuds) dans le tore solide S1 × D2. La construction et le calcul de ces invariants utilise des notions élémentaires de la théorie des nœuds mais la preuve du théorème principal d'invariance nécessite des connaissances plus poussées en théorie des singularités. La compréhension du programme de calcul qui implémente ces invariants en Sagemath implique d'avoir des bases en programmation Python et en algorithmique (Programmation Orientée Objet, fonctions récursives, dictionnaires, etc...)
This manuscript is a work within the scope of topology, algebra, combinatorics and programming. More precisely, it is a thesis in knot theory. The main goal of this manuscript is to provide a family of invariants that can distinguish 4-braids that are knots (a particular family of knots) in the solid torus S1×D2. The construction and the computation of these invariants use knot theory basics but the proof of the main invariance theorem requires more advanced knowledge in singularity theory. The understanding of the computational program that implements these invariants in Sagemath requires basic knowledge of Python programming and algorithmics (Oriented-Object Programming, recursive function theory, dictionaries, etc...)
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16

Cagnache, Eric. "Aspects différentiels et métriques de la géométrie non commutative : application à la physique." Thesis, Paris 11, 2012. http://www.theses.fr/2012PA112115.

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La géométrie non commutative, du fait qu'elle permet de généraliser des objets géométriques sous forme algébrique, offre des perspectives intéressantes pour réunir la théorie quantique des champs et la relativité générale dans un seul cadre. Elle peut être abordée selon différents points de vue et deux d'entre eux sont présentés dans cette thèse. Le premier, le calcul différentiel basé sur les dérivations, nous a permis de construire une action de Yang-Mills-Higgs dans laquelle apparait des champs pouvant être interprétés comme des champs de Higgs. Avec le second, les triplets spectraux, on peut généraliser la notion de distance entre état et calculer des formules de distance. C'est ce que nous avons fait dans le cas de l'espace de Moyal et du tore non commutatif
Noncommutative geometry offers interesting prospects to gather the quantum field theory and relativity in one general framework because it allows one to generalize geometric objects algebraically. It can be approached from different points of view and two of them are presented in this PhD. The first, calculus based on derivations, allowed us to construct a Yang-Mills-Higgs action which appears in fields that can be interpreted as Higgs fields. With the second, spectral triples, we can generalize the notion of distance between states. We calculated the distance formulas in the case of the Moyal space and the noncommutative torus
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17

Upadhyay, Ashish Kumar. "Degree-Regular Triangulations Of The Torus, The Klein Bottle And The Double-Torus." Thesis, 2005. http://etd.iisc.ernet.in/handle/2005/1450.

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18

Tsai, Chia-Cheng, and 蔡嘉承. "Asynchronous Bi-direction Interconnection Network using Torus Topology." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/19626859889264551061.

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碩士
國立交通大學
資訊科學與工程研究所
97
NOC is a popular topic in recent year, and how to efficiency to connect processors with different frequency are very hard. But, if we use asynchronous circuits design and torus system, the problems can be solved easily. In asynchronous circuits, it uses handshaking to replace the clock to synchronous every sub-circuits, and the torus system uses extra data paths to reduce the transfer time. We use packet-switching and the new algorithms to avoid the deadlock and make sure the packet sequence. By simulation, the packets spend about 40000ps to pass through one router, and there would not cause deadlock happen when the system is full with packets.
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19

Baker, Kenneth Lee. "Knots on once-punctured torus fibers." Thesis, 2004. http://hdl.handle.net/2152/1157.

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20

Baker, Kenneth Lee Luecke John Edwin. "Knots on once-punctured torus fibers." 2004. http://wwwlib.umi.com/cr/utexas/fullcit?p3139184.

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21

Kuo-Chang, Chien. "A High Performance Multicast Scheme based on Virtual 2D Torus Topology." 2006. http://www.cetd.com.tw/ec/thesisdetail.aspx?etdun=U0009-0112200611343895.

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22

Chien, Kuo-Chang, and 簡國璋. "A High Performance Multicast Scheme based on Virtual 2D Torus Topology." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/49379729809493077365.

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碩士
元智大學
資訊工程學系
94
Wavelength Division Multiplexing (WDM) not only can increase the bandwidth of backbone transmission network significantly, but can also decrease the network cost and make the controlling and maintaining of transmission easy. A new algorithm, Torus Topology Conversion Algorithm (TTCA), is proposed in this paper. It is made up of three parts: (1) the conversion algorithm, developed from Ring-Tree-based RWA (RTRWA), is employed to change topologies from real networks into torus networks; (2) the Earliest Available Channel (EAC) algorithm is utilized for wavelength assignment; and (3) Time Division Multiplexing (TDM) is used for the scheduling algorithm to proceed on transmission of packets. The system performance of the TTCA is compared with both the RTRWA and Steiner minimal tree (SMT). The simulation results show that the call blocking probability of the TTCA can be reduced 10% to 20% more than that of the RTRWA and the channel utilization of the TTCA can be increased 40% to 50% more than that of the RTRWA.
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23

Van, Horn-Morris Jeremy 1978. "Constructions of open book decompositions." Thesis, 2007. http://hdl.handle.net/2152/3335.

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We introduce the naive notion of a relative open book decomposition for contact 3-manifolds with torus boundary. We then use this to construct nice, minimal genus open book decompositions compatible with all of the universally tight contact structures (as well as a few others) on torus-bundles over S¹, following Honda's classification. In an accurate sense, we find Stein fillings of 'half' of the torus bundles. In addition, these give the first examples of open books compatible with the universally tight contact structures on circle bundles over higher genus surfaces, as well, following a pattern introduced by a branched covering of B⁴. Some interesting examples of open books without positive monodromy are emphasized.
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24

Lee, Henry. "On recent constraints for the minimum scale of a small compact universe with three-torus topology." Thesis, 1993. http://hdl.handle.net/2429/2207.

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We have embarked upon simple tests to gauge the validity of assumptions made by Fang and Liu in their assessment of opposite quasar pairs as a probe of global topology in the universe. Constraints for the scale of a three-torus (T-3) universe obtained from searches of opposite pairs of quasars by Fang and Liu have been claimed as the strongest to date. However, two assumptions involved are shown to be invalid: quasar images are not distributed uniformly across the sky and the observer and the object within the fundamental cell are not coincident. So, detected images of the object are not located back-to-back. We perform two numerical calculations in a simulated survey. A three-dimensional computational lattice with unit volumes was arranged as the model for a small universe with three-torus topology. The first calculation sets coincident observer and object positions within the unit cell while the second calculation places the observer randomly within the unit cell. The computational lattice was surveyed with two by two degree square beams for images of the object and the number of opposite pairs of images was counted. Our results show that opposite pairs of quasars are detected infrequently and that the Fang and Liu limit is overestimated by a factor of ten in probability. To obtain their90% confidence in pair detection probability, their limit underestimates the number of toroidal diameters by a factor of two. Consequently, their claimed lower limit of 200Mpc for the minimum scale of a three-torus universe is reduced by two to 100 Mpc. The absence of many opposite quasar pairs does not constrain the minimum scale of a toroidal universe and any search for opposite quasar pairs is not a useful method to investigate the existence or constrain the size of a possible toroidal universe.
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25

Guntel, Brandy Jean. "Primitive/primitive and primitive/Seifert knots." Thesis, 2011. http://hdl.handle.net/2152/ETD-UT-2011-05-2844.

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Berge introduced knots that are primitive/primitive with respect to the standard genus 2 Heegaard surface, F, for the 3-sphere; surgery on such knots at the surface slope yields a lens space. Later Dean described a similar class of knots that are primitive/Seifert with respect to F; surgery on these knots at the surface slope yields a Seifert fibered space. The examples Dean worked with are among the twisted torus knots. In Chapter 3, we show that a given knot can have distinct primitive/Seifert representatives with the same surface slope. In Chapter 4, we show that a knot can also have a primitive/primitive and a primitive/Seifert representative that share the same surface slope. In Section 5.2, we show that these two results are part of the same phenomenon, the proof of which arises from the proof that a specific class of twisted torus knots are fibered, demonstrated in Section 5.1.
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