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Dissertations / Theses on the topic 'One-dimensional and three-dimensional theory'

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Published: 30 May 2022

Last updated: 31 May 2022

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1

Yoon, Seok Ho. "Explicit class field theory : one dimensional and higher dimensional." Thesis, University of Nottingham, 2018. http://eprints.nottingham.ac.uk/50367/.

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This thesis investigates class field theory for one dimensional fields and higher dimensional fields. For one dimensional fields we cover the cases of local fields and global fields of positive characteristic. For higher dimensional fields we study the case of higher local fields of positive characteristic. The main content of the thesis is divided into two parts. The first part solves several problems directly related to Neukirch's axiomatic class field theory method. We first prove the famous Hilbert 90 Theorem in the case of tamely ramified extensions of local fields in an explicit way. This approach can be of use in understanding the role of the ring structure as opposed to the role of multiplication only in local class field theory. Next, we prove that for every local field, its `class field theory' is unique. Lastly, we establish the Neukirch axiom for global fields of positive characteristic, which leads to a new approach to class field theory for such fields, an approach that has not appeared in the previous literature. There are two main successful directions in higher local class field theory, one by Kato and another by Fesenko. While Kato used a technical cohomological method, Fesenko generalised the Neukirch method and gave the first proof of the existence theorem. In the second part of the thesis we deal with the third method in class field theory that works in positive characteristic only, the Kawada-Satake method. We generalise the classical Kawada-Satake method to higher local fields of positive characteristic. We correct substantial mistakes in a paper of Parshin on such class field theory. We develop the first complete presentation of the theory based on the generalised Kawada-Satake method using advanced properties of topological Milnor K-groups. These advanced properties include Fesenko's theorem about relations of topological and algebraic properties of Milnor K-groups.

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2

Adams, Charles N. "Three dimensional image synthesis : theory and application /." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2003. http://library.nps.navy.mil/uhtbin/hyperion-image/03Jun%5FAdams.pdf.

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Thesis (M.S. in Electrical Engineering)--Naval Postgraduate School, June 2003.<br>Thesis advisor(s): Phillip E. Pace, Don Brutzman. Includes bibliographical references (p. 129-130). Also available online.

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3

Góralski, Rafał. "Three-dimensional interactive maps : theory and practice." Thesis, University of South Wales, 2009. https://pure.southwales.ac.uk/en/studentthesis/threedimensional-interactive-maps(a6056f48-8ee0-475e-b5e4-7e7e66037c7d).html.

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Maps are among the oldest and the most popular forms of graphical communication, which have always been highly regarded for high efficiency of information transfer. Regardless of how efficient two-dimensional maps are, three-dimensional interactive maps offer significant improvements and benefits over their traditional counterparts. While the enabling technologies for three-dimensional (3D) mapping have been ready for some time, and the benefits are significant, one might expect that a wide adoption of threedimensional maps should already be happening. However, for some reason, the transition to 3D cartography is not happening as quickly and effectively, as would be allowed by the technological and social conditioning. In this work we discuss three-dimensional interactive maps in depth from both the theoretical and practical perspective, as well as show the benefits for a number of applications, and identify some of the factors that inhibit their popularization. We define 3D maps and threedimensional cartography, and discuss its relations with the broader discipline of geovisualization. We demonstrate that more 3D cartographic research would benefit users of maps, as well as those of GIS and geovisualization products. Three-dimensional maps are such a broad subject, and they encompass so many different things, that hard definitions are difficult. That is why we use a technical description and propose a set of functional factors that differentiate, describe and define threedimensional maps, instead of trying to provide a single narrow definition. We also discuss and validate various cartographic, functional, practical and technical aspects of three-dimensional maps, by a practical exercise of implementation of a 3D mapping platform. The platform developed, called the 3D Map Viewer, is used to demonstrate the usefulness of 3D maps, and discuss a number of applications where they offer benefits over the existing approaches. By applying our platform to different tasks we also prove that efficient 3D mapping products may be built today, without a need for further technological progress. We believe that the adoption of 3D cartography would benefit a widerange of users, and that it has a potential to stimulate progress in numerous disciplines of business, life and science. It is our objective to contribute to widespread recognition of three-dimensional maps’ usefulness, and to adhere to their continued development and popularization.

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4

McNeill, Mark D. "Three-dimensional strong acousto-optic interaction theory." Diss., Virginia Tech, 1996. http://hdl.handle.net/10919/40456.

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5

Johansson, Bergholtz Emil. "One-dimensional theory of the quantum Hall system." Doctoral thesis, Stockholms universitet, Fysikum, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-7545.

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The quantum Hall (QH) system---cold electrons in two dimensions in a perpendicular magnetic field---is a striking example of a system where unexpected phenomena emerge at low energies. The low-energy physics of this system is effectively one-dimensional due to the magnetic field. We identify an exactly solvable limit of this interacting many-body problem, and provide strong evidence that its solutions are adiabatically connected to the observed QH states in a similar manner as the free electron gas is related to real interacting fermions in a metal according to Landau's Fermi liquid theory. The solvable limit corresponds to the electron gas on a thin torus. Here the ground states are gapped periodic crystals and the fractionally charged excitations appear as domain walls between degenerate ground states. The fractal structure of the abelian Haldane-Halperin hierarchy is manifest for generic two-body interactions. By minimizing a local k+1-body interaction we obtain a representation of the non-abelian Read-Rezayi states, where the domain wall patterns encode the fusion rules of the underlying conformal field theory. We provide extensive analytical and numerical evidence that the Laughlin/Jain states are continuously connected to the exact solutions. For more general hierarchical states we exploit the intriguing connection to conformal field theory and construct wave functions that coincide with the exact ones in the solvable limit. If correct, this construction implies the adiabatic continuation of the pertinent states. We provide some numerical support for this scenario at the recently observed fraction 4/11. Non-QH phases are separated from the thin torus by a phase transition. At half-filling, this leads to a Luttinger liquid of neutral dipoles which provides an explicit microscopic example of how weakly interacting quasiparticles in a reduced (zero) magnetic field emerge at low energies. We argue that this is also smoothly connected to the bulk state.

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6

Kim, Hyun Suk. "Two dimensional and three dimensional path planning in robotics." PDXScholar, 1988. https://pdxscholar.library.pdx.edu/open_access_etds/3814.

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A methodology for 2D and 3D collision free path planning algorithm in a structured environment is presented. The isolated free convex areas are represented as a nodes in a graph, and a graph traversal strategy that dynamically allocates costs to graph path is used. Modification of the algorithm for small computational time and optimality is discussed. The 3D path planning is done in the three orthogonal two-dimensional projections of a 3D environment. Collision checking to increase the optimality for 3D paths is done in each of the three orthogonal two-dimensional subspaces.

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7

Hanlon, Sebastien, and University of Lethbridge Faculty of Arts and Science. "Visualizing three-dimensional graph drawings." Thesis, Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2006, 2006. http://hdl.handle.net/10133/348.

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The GLuskap system for interactive three-dimensional graph drawing applies techniques of scientific visualization and interactive systems to the construction, display, and analysis of graph drawings. Important features of the system include support for large-screen stereographic 3D display with immersive head-tracking and motion-tracked interactive 3D wand control. A distributed rendering architecture contributes to the portability of the system, with user control performed on a laptop computer without specialized graphics hardware. An interface for implementing graph drawing layout and analysis algorithms in the Python programming language is also provided. This thesis describes comprehensively the work on the system by the author—this work includes the design and implementation of the major features described above. Further directions for continued development and research in cognitive tools for graph drawing research are also suggested.<br>viii, 110 leaves : ill. (some col.) ; 29 cm.

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8

Seifert, Christian. "Measure-perturbed one-dimensional Schrödinger operators." Doctoral thesis, Universitätsbibliothek Chemnitz, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-102766.

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In this Dissertation thesis the spectral theory of Schrödinger operators modeling quasicrystals in dimension one ist investigated. We allow for a large class of measures as potentials covering also point interactions. The main results can be stated as follows: If the potential can be very well approximated by periodic potentials, then the correspondig Schrödinger operator does not have any eigenvalues. If the potential is aperiodic and satisfies a certain finite local complexity condition, the absolutely continuous spectrum is absent. We also prove Cantor spectra of zero Lebesgue measure for a large class of (a randomized version of) the operator.

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9

Wu, Si. "Magnetic Properties of Quasi-One-Dimensional Organic Conductors." Diss., The University of Arizona, 2010. http://hdl.handle.net/10150/195205.

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In the past three decades, quasi-low-dimensional organic materials have attracted intense interests, both experimentally and theoretically. Due to their reduced dimensionality and relatively low carrier concentration, many organic materials exhibit strong electron correlations and numerous instabilities of the normal metallic state. The energy scales of such instabilities are often so low that the ground states can be changed by applying a reasonably strong magnetic field. Therefore, magnetic field is an effective tool for the study of quasi-low-dimensional organic materials. In this thesis, we will investigate two of these magnetic field related phenomena. In the first part, we will present our unified theory of angular magnetoresistance oscillations observed in organic conductors. We will demonstrate that, in spite of the absence of Landau level quantization for open Fermi surfaces in a magnetic field, a new quantum effect - Bragg reflections of electrons moving in the extended Brillouin zone - determines unusual magnetic properties of these materials. We will demonstrate that, at commensurate directions of a magnetic field, the electron motion shows 1D→2D dimensional crossover and leads to strong resistivity minima. We will present an analytic expression for interlayer resistivity, by both linear response formalism and solving the Boltzmann kinetic equation in the extended Brillouin zone. In two limiting cases, our general solution reduces to the results previously obtained for the LMA effects and LNL oscillations. We demonstrate that our theoretical results are in good qualitative and quantitative agreement with the existing measurements of resistivity in (TMTSF)₂ClO₄ conductor. In the second part, we will develop a theory for the recently observed high magnetic field high resistance state in (Per)₂Pt(mnt)₂. We demonstrate that the Pauli spinsplitting effects in a magnetic field improve nesting properties of a realistic quasi-onedimensional electron spectrum. As a result, a high resistance Peierls charge-density wave (CDW) phase is stabilized in high enough magnetic fields in (Per)₂Pt(mnt)₂ conductor. We show that, in low and very high magnetic fields, the Pauli spin-splitting effects lead to a stabilization of a soliton wall superlattice (SWS) CDW phase, which is characterized by periodically arranged soliton and anti-soliton walls. We suggest experimental studies of the predicted first order phase transitions between the Peierls and SWS phases to discover a unique SWS phase. It is important that, in the absence of a magnetic field and in a limit of very high magnetic fields, the suggested model is equivalent to the exactly solvable model of Brazovskii, Dzyaloshinskii, and Kirova.

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10

Yong, Xuerong. "The channel capacity of one and two-dimensional constrained codes /." View Abstract or Full-Text, 2002. http://library.ust.hk/cgi/db/thesis.pl?COMP%202002%20YONG.

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Thesis (Ph. D.)--Hong Kong University of Science and Technology, 2002.<br>Includes bibliographical references (leaves 105-110). Also available in electronic version. Access restricted to campus users.

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11

Gregory, Ray N. "Cyclic cutwidth of three dimensional cubes." CSUSB ScholarWorks, 1998. https://scholarworks.lib.csusb.edu/etd-project/1400.

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12

Gray, Sean. "Bootstrapping the Three-dimensional Ising Model." Thesis, Uppsala universitet, Teoretisk fysik, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-322146.

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This thesis begins with the fundamentals of conformal field theory in three dimensions. The general properties of the conformal bootstrap are then reviewed. The three-dimensional Ising model is presented from the perspective of the renormalization group, after which the conformal field theory aspect at the critical point is discussed. Finally, the bootstrap programme is applied to the three-dimensional Ising model using numerical techniques, and the results analysed.

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13

Barry, Sarah Jane Elizabeth. "Longitudinal analysis of three-dimensional facial shape data." Connect to e-thesis, 2008. http://theses.gla.ac.uk/190/.

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Thesis (Ph.D.) - University of Glasgow, 2008.<br>Ph.D. thesis submitted to the Faculty of Information and Mathematical Sciences, Department of Statistics, University of Glasgow, 2008. Includes bibliographical references. Print version also available.

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14

Beegle, David J. "Three-dimensional modeling of rigid pavement." Ohio : Ohio University, 1998. http://www.ohiolink.edu/etd/view.cgi?ohiou1176842076.

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15

Man, Tsz Yin. "One dimensional quantum mechanical transport in double-gate MOSFET /." View Abstract or Full-Text, 2003. http://library.ust.hk/cgi/db/thesis.pl?ELEC%202003%20MAN.

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16

Uys, Ernst Wilhelm. "Image compression using the one-dimensional discrete pulse transform." Thesis, Stellenbosch : University of Stellenbosch, 2011. http://hdl.handle.net/10019.1/6466.

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Thesis (MSc)--University of Stellenbosch, 2011.<br>ENGLISH ABSTRACT: The nonlinear LULU smoothers excel at removing impulsive noise from sequences and possess a variety of theoretical properties that make it possible to perform a so-called Discrete Pulse Transform, which is a novel multiresolution analysis technique that decomposes a sequence into resolution levels with a large amount of structure, analogous to a Discrete Wavelet Transform. We explore the use of a one-dimensional Discrete Pulse Transform as the central element in a digital image compressor. We depend crucially on the ability of space-filling scanning orders to map the two-dimensional image data to one dimension, sacrificing as little image structure as possible. Both lossless and lossy image compression are considered, leading to five new image compression schemes that give promising results when compared to state-of-the-art image compressors.<br>AFRIKAANSE OPSOMMING: Die nielineêre LULU gladstrykers verwyder impulsiewe geraas baie goed uit rye en besit verskeie teoretiese eienskappe wat dit moontlik maak om ’n sogenoemde Diskrete Puls Transform uit te voer; ’n nuwe multiresolusie analise tegniek wat ’n ry opbreek in ’n versameling resolusie vlakke wat ’n groot hoeveelheid struktuur bevat, soortgelyk tot ’n Diskrete Golfie Transform. Ons ondersoek of ’n eendimensionele Diskrete Puls Transform as die sentrale element in ’n digitale beeld kompressor gebruik kan word. Ons is afhanklik van ruimtevullende skandeer ordes om die tweedimensionele beelddata om te skakel na een dimensie, sonder om te veel beeld struktuur te verloor. Vyf nuwe beeld kompressie skemas word bespreek. Hierdie skemas lewer belowende resultate wanneer dit met die beste hedendaagse beeld kompressors vergelyk word.

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17

Elliott, Joshua Wright 1980. "Three dimensional N = 2 supersymmetry on the lattice." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=97947.

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We show how 3-dimensional, N=2 supersymmetric theories, including super QCD with matter fields, can be put on the lattice with existing techniques, in a way which will recover supersymmetry in the small lattice spacing limit, with O(a) lattice spacing suppressed SUSY breaking effects.

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18

Berg, Kevin Michael. "An Effective Field Theory Approach to the One-Dimensional Scattering Problem." Thesis, The University of Arizona, 2012. http://hdl.handle.net/10150/243871.

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We demonstrate the effective field theory (EFT) principle by approximating the coefficient of reflection resulting from a one-dimensional finite square barrier potential with a series of Dirac delta functions up to second order in derivative. The explicit conditions for energy, E, finite square barrier potential height, V0, and finite square barrier potential width, a, wherein the approximation is valid are provided. We show that the inclusion of the second order derivative with the Dirac delta function in the series improves the agreement of the result. Generally, at any order the agreement between the approximation and the exact result deteriorates as E or the dimensionless quantity V₀a increases. In addition, at a given E or V₀a value the agreement improves as the order increases. Our results suggest that a more accurate approximation will occur with the addition of further derivatives of the Dirac delta function to the approximating potential, which is in line with the underlying assumptions behind the use of EFTs.

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19

Zhou, Yufeng, and Yan Wang. "To Measure Wind Speed using the theory of One-dimensional Ultrasonic Anemometer." Thesis, Högskolan i Gävle, Avdelningen för elektronik, matematik och naturvetenskap, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hig:diva-9602.

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Ultrasonic anemometer (UA) is a core application in natural environment measurement. As well known, mechanical anemometer works well in good weather but it is not suitable to be applied in bad environment such as polar region and upper air. On the other hand, ultrasonic anemometer works well in most situations. Moreover, ultrasonic anemometer has wider detectable wind speed range. It can be said that ultrasonic anemometer is a more advanced instrument to measure wind velocity. In this paper, the theory of ultrasonic anemometer is first discussed. Using the theory, a test bed is then designed and constructed to measure one-dimensional wind speed. Active Butterworth filter is introduced into the circuit in order to increase the stability and accuracy. Furthermore, we test the one-dimensional ultrasonic anemometer and compare the measured wind speed with theoretical wind speed measured by a thermal anemometer device. Error is also discussed and improvement has also made during the experiment.

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20

Ahmad, Riaz. "Three-dimensional vortex flows in distorted pipes : theory and computation." Thesis, University College London (University of London), 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.244619.

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21

Hardikar, Rahul Padmakar. "Dynamic electron-phonon interactions in one-dimensional models." Diss., Mississippi State : Mississippi State University, 2007. http://library.msstate.edu/etd/show.asp?etd=etd-11092007-143010.

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22

Blais, Timothy. "A new quantization condition for parity-violating three-dimensional gravity." Thesis, McGill University, 2013. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=119487.

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(2+1)-dimensional gravity with a negative cosmological constant is a topological theory with no local degrees of freedom. When confined to compact universes which are topologically genus g Riemann surfaces times time, its classical phase space is the cotangent bundle of the moduli space of Riemann surfaces. We consider the quantization of moduli space itself, emerging as the zero-momentum slice of this phase space. When a parity-violating Chern-Simons term is added to the gravitational action, a nontrivial symplectic form is induced on this slice which is a multiple of the Weil-Petersson Kähler form. By demanding that this symplectic form integrate to 2 pi h-bar times an integer on every nontrivial two-cycle in moduli space—which is a necessary condition for the system to be quantizable—we find a new quantization condition on the Chern-Simons coupling k'. Our result strongly suggests that k' must be an integer multiple of 24 in order to define a self-consistent theory of quantum gravity.<br>La gravitation en 2+1 dimensions avec une constante cosmologique négative est une théorie topologique, sans degrés de liberté locaux. Lorsqu'elle est limitée à des univers compacts qui sont topologiquement un produit direct des surfaces de Riemann au genre g et du temps, son espace de phase classique est le fibré cotangent de l'espace des modules des surfaces de Riemann. Nous considérons la quantification de l'espace des modules lui-même, qui se produit comme la tranche zéro dynamique de cet espace de phase. Quand on ajoute un terme Chern-Simons, qui brise la parité, à l'action gravitationelle, une forme symplectique non triviale est induite sur cette tranche qui est un multiple de la forme Kähler de Weil-Petersson. En exigeant que cette forme symplectique doit intégrer à 2 pi fois h barre multiplié par un entier sur tous les cycles non triviaux de degré 2 dans l'espace des modules—condition nécessaire pour faire la quantification du système—nous trouvons une nouvelle condition de quantification pour k', le couplage Chern-Simons. Notre résultat suggère fortement que k' doit être un multiple entier de 24, afin de définir une théorie cohérente de la gravitation quantique.

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23

Wang, Ligang. "Wave propagation in dispersive media and one-dimensional photonic crystals." HKBU Institutional Repository, 2005. http://repository.hkbu.edu.hk/etd_ra/614.

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Huang, Jesse Jiasheu. "Theory, design and application of one- and two-dimensional complex PCAS filters." Thesis, University of Warwick, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.368016.

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25

Thiruvengadam, Magesh. "Three-dimensional laminar and turbulent convection in separated flow." Diss., Rolla, Mo. : Missouri University of Science and Technology, 2008. http://scholarsmine.mst.edu/thesis/pdf/Thiruvengadam_09007dcc80557d79.pdf.

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Thesis (Ph. D.)--Missouri University of Science and Technology, 2008.<br>Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed August 21, 2008) Includes bibliographical references.

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26

Buhné, Lukas [Verfasser], and Christoph [Akademischer Betreuer] Schweigert. "Topics in three-dimensional descent theory / Lukas Buhné. Betreuer: Christoph Schweigert." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2015. http://d-nb.info/1072553694/34.

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27

Chapman, D. A. "Theory for three dimensional dynamic simulation of towed cable-body systems." Thesis, University of Bath, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.378147.

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28

Singh, Harbir. "Three dimensional segmentation of the lung airway tree using information theory." Thesis, University of East Anglia, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.432439.

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29

Huish, Gary John. "Renormalization of interacting quantum field theory in three dimensional curved space." Thesis, University of Newcastle Upon Tyne, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240852.

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Liang, Yong. "Three-dimensional coupled-wave theory for photonic-crystal surface-emitting lasers." 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/188596.

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Buhné, Lukas Verfasser], and Christoph [Akademischer Betreuer] [Schweigert. "Topics in three-dimensional descent theory / Lukas Buhné. Betreuer: Christoph Schweigert." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2015. http://d-nb.info/1072553694/34.

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32

Tas, Murat. "Dielectric Formulation Of The One Dimensional Electron Gas." Phd thesis, METU, 2004. http://etd.lib.metu.edu.tr/upload/12604981/index.pdf.

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The charge and spin density correlations in a one dimensional electron gas (1DEG) confined in a semiconductor quantum wire structure at zero temperature are studied. The dielectric formulation of the many--body problem is employed and the longitudinal dielectric function, local-field correction, static structure factor, pair correlation function, ground state energy, compressibility, spin-dependent effective interaction potentials, paramagnon dispersion and static spin response function of the 1DEG are computed within the self-consistent field approximations of Singwi et al., known as the STLS and SSTL. The results are compared with those of other groups, and those obtained for two-dimensional electron gas systems whenever it is possible. It is observed that the SSTL satisfies the compressibility sum rule better than the STLS. Calculating the ground state energy of the 1DEG in unpolarized and fully polarized states, it is shown that both STLS and SSTL predict a Bloch transition for 1DEG systems at low electron densities. Finally, the coupled plasmon-phonon modes in semiconductor quantum wires are calculated within the Fermi and Luttinger liquid theories. The coupling of electrons to bulk longitudinal optical phonons without dispersion and to acoustic phonons via deformation potential with a linear dispersion are considered. Using the dielectric formalism, a unified picture of the collective coupled plasmon-phonon modes is presented. Considerable differences between the predictions of the Fermi and Luttinger liquid approaches at large wave vector values, which may be observed experimentally, are found.

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Lee, Kathryn Green Melville Joel G. "Comparison of the theory, application, and results of one- and two- dimensional flow models." Auburn, Ala., 2006. http://repo.lib.auburn.edu/2006%20Summer/Theses/LEE_KATHRYN_42.pdf.

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34

Dang, Vinh Xuan. "Three-Dimensional Galois Representations and a Conjecture of Ash, Doud, and Pollack." BYU ScholarsArchive, 2011. https://scholarsarchive.byu.edu/etd/2697.

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In the 1970s and 1980s, Jean-Pierre Serre formulated a conjecture connecting two-dimensional Galois representations and modular forms. The conjecture came to be known as Serre's modularity conjecture. It was recently proved by Khare and Wintenberger in 2008. Serre's conjecture has various important consequences in number theory. Most notably, it played a key role in the proof of Fermat's last theorem. A natural question is, what is the analogue of Serre's conjecture for higher dimensional Galois representations? In 2002, Ash, Doud and Pollack formulated a precise statement for a higher dimensional analogue of Serre's conjecture. They also provided numerous computational examples as evidence for this generalized conjecture. We consider the three-dimensional version of the Ash-Doud-Pollack conjecture. We find specific examples of three-dimensional Galois representations and computationally verify the generalized conjecture in all these examples.

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35

Doshi, Urmi R. "One-dimensional free energy surface models of protein folding: connecting theory and experiments." College Park, Md. : University of Maryland, 2007. http://hdl.handle.net/1903/6875.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2007.<br>Thesis research directed by: Biochemistry. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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Hurth, Tobias. "Limit theorems for a one-dimensional system with random switchings." Thesis, Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/37201.

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We consider a simple one-dimensional random dynamical system with two driving vector fields and random switchings between them. We show that this system satisfies a one force - one solution principle and compute its unique invariant density explicitly. We study the limiting behavior of the invariant density as the switching rate approaches zero and infinity and derive analogues of classical probabilistic results such as the central limit theorem and large deviations principle.

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37

Walton, Andrew Gerard. "Theory and computation of three-dimensional nonlinear effects in pipe flow transition." Thesis, University College London (University of London), 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.321485.

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Clark, Nicholas William. "Three-dimensional structural restoration of extensional fault displacements using elastic dislocation theory." Thesis, University of Liverpool, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366486.

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Couch, Mark A. "A three-dimensional flutter theory for rotor blades with trailing-edge flaps." Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2003. http://library.nps.navy.mil/uhtbin/hyperion-image/03Jun%5fCouch%5FPhD.pdf.

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Thesis (Ph. D. in Aeronautical and Astronautical Engineering)--Naval Postgraduate School, June 2003.<br>Dissertation supervisor and advisor: E. Roberts Wood. Includes bibliographical references (p. 205-210). Also available online.

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Muoka, Anthony E. "Dynamics of three-dimensional pipes conveying fluid using the Reissner beam theory." Thesis, Swansea University, 2018. https://cronfa.swan.ac.uk/Record/cronfa48136.

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The study of dynamics of pipes conveying fluid has been the subject of research for many decades now, and various formulations, solution methodologies and applications have been developed. The topic is well understood but research in this area is ongoing as the study of the subject is far from trivial. This is a classical model problem in the study of dynamics and stability of structures mainly because it is a physically simple system capable of displaying a wide array of interesting behaviour in both the linear and nonlinear regime. In this thesis, a geometrically exact fully implicit version of the 3D beam element, which employs the Rodrigues formula for the update of large rotations is used in the solution of the equations of motion. The nonlinear model for the flexible beam conveying fluid has been formulated and implemented to recover the interesting dynamic behaviour of the system in 3D. The advantage of this approach stems mainly from the fact that approach to engineering problems depends upon the intended application, cost from a computational perspective, among other factors which may be taken into consideration, and this provides an alternative to existing approaches. Benchmark problems are presented in 2D and 3D, and confirm robustness and accuracy of the formulation.

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Fan, Henry. "Wave theory modeling of three-dimensional seismo-acoustic reverberation in ocean waveguides." Thesis, Massachusetts Institute of Technology, 1995. http://hdl.handle.net/1721.1/36076.

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Pepperrell, Catherine. "An investigation of methods for similarity in databases of three-dimensional chemical structures." Thesis, University of Sheffield, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.293858.

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Crivelli, Dawid Wiesław. "Particle and energy transport in strongly driven one-dimensional quantum systems." Doctoral thesis, Katowice: Uniwersytet Śląski, 2016. http://hdl.handle.net/20.500.12128/5879.

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This Dissertation concerns the transport properties of a strongly–correlated one–dimensional system of spinless fermions, driven by an external electric field which induces the flow of charges and energy through the system. Since the system does not exchange information with the environment, the evolution can be accurately followed to arbitrarily long times by solving numerically the time–dependent Schrödinger equation, going beyond Kubo’s linear response theory. The thermoelectric response of the system is here characterized, using the ratio of the induced energy and particle currents, in the nonequilibrium state under the steady applied electric field. Even though the equilibrium response can be reached for vanishingly small driving, strong fields produce quantum–mechanical Bloch oscillations in the currents, which disrupt the proportionality of the currents. The effects of the driving on the local state of the ring are analyzed via the reduced density matrix of small subsystems. The local entropy density can be defined and shown to be consistent with the laws of thermodynamics for quasistationary evolution. Even integrable systems are shown to thermalize under driving, with heat being produced via the Joule effect by the flow of currents. The spectrum of the reduced density matrix is shown to be distributed according the Gaussian unitary ensemble predicted by random–matrix theory, both during driving and a subsequent relaxation. The first fully–quantum model of a thermoelectric couple is realized by connecting two correlated quantum wires. The field is shown to produce heating and cooling at the junctions according to the Peltier effect, by mapping the changes in the local entropy density. In the quasiequilibrium regime, a local temperature can be defined, at the same time verifying that the subsystems are in a Gibbs thermal state. The gradient of temperatures, established by the external field, is shown to counterbalance the flow of energy in the system, terminating the operation of the thermocouple. Strong applied fields lead to new nonequilibrium phenomena. At the junctions, observable Bloch oscillations of the density of charge and energy develop at the junctions. Moreover, in a thermocouple built out of Mott insulators, a sufficiently strong field leads to a dynamical transition reversing the sign of the charge carriers and the Peltier effect.

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Almeida, Ricardo Costa de. "Topological order in three-dimensional systems and 2-gauge symmetry." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-05122017-094209/.

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Topological order is a new paradigm for quantum phases of matter developed to explain phase transitions which do not fit the symmetry breaking scheme for classifying phases of matter. They are characterized by patterns of entanglement that lead to topologically depended ground state degeneracy and anyonic excitations. One common approach for studying such phases in two-dimensional systems is through exactly solvable lattice Hamiltonian models such as quantum double models and String-Net models. The former can be understood as the Hamiltonian formulation of lattice gauge theories and, as such, it is defined by a finite gauge group. However, not much is known about topological phases in tridimensional systems. Motivated by this we develop a new class of three-dimensional exactly solvable models which go beyond quantum double models by using finite crossed modules instead of gauge groups. This approach relies on a lattice implementation of 2-gauge theory to obtain models with a richer topological structure. We construct the Hamiltonian model explicitly and provide a rigorous proof that the ground state degeneracy is a topological invariant and that the ground states can only be characterized with nonlocal order parameters.<br>Ordem topológica é um novo paradigma para fases quânticas da matéria desenvolvido para explicar transições de fase que não se encaixam no esquema de classificação de fases da matéria por quebra de simetria. Estas fases são caracterizadas por padrões de emaranhamento que levam a uma degenerescência de estado fundamental topológica e a excitações anyonicas. Uma abordagem comum para o estudo de tais fases em sistemas bidimensionais é através de modelos Hamiltonianos exatamente solúveis de rede como os modelos duplos quânticos e modelos de String-Nets. O primeiro pode ser entendido como a formulação Hamiltoniana de teorias de gauge na rede e, desta maneira, é definido por um group de gauge finito. Entretanto, pouco é conhecido a respeito de fases topológicas em sistemas tridimensionais. Motivado por isso nós desenvolvemos uma nova classe de modelos tridimensionais exatamente solúveis que vai alem de modelos duplos quânticos pelo uso de módulos cruzados finitos no lugar de grupos de gauge. Esta abordagem se baseia numa implementação em redes de teoria de 2-gauge para obter modelos com uma estrutura topológica mais rica. Nós construímos o modelos Hamiltoniano explicitamente e fornecemos uma demonstração rigorosa de que a degenerescência de estado fundamental é um invariante topológico e que os estados fundamentais só podem ser caracterizados por parâmetros de ordem não locais.

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MacKay, Robert Malcolm. "The Oregon Graduate Institute one dimensional time-dependent radiative convective model : theory and application /." Full text open access at:, 1990. http://content.ohsu.edu/u?/etd,202.

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Barter, Wiliam Hale. "Numerical simulation of three-dimensional unsaturated flow in a heterogeneous porous medium." Thesis, The University of Arizona, 1995. http://etd.library.arizona.edu/etd/GetFileServlet?file=file:///data1/pdf/etd/azu_etd_hy0054_m_sip1_w.pdf&type=application/pdf.

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Miller, Matthew Sean. "The rational homotopy types of configuration spaces of three-dimensional lens spaces /." view abstract or download file of text, 2007. http://proquest.umi.com/pqdweb?did=1417807461&sid=1&Fmt=2&clientId=11238&RQT=309&VName=PQD.

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Thesis (Ph. D.)--University of Oregon, 2007.<br>Typescript. Includes vita and abstract. Includes bibliographical references (leaf 76). Also available for download via the World Wide Web; free to University of Oregon users.

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Forget, Benoit. "A Three Dimensional Heterogeneous Coarse Mesh Transport Method for Reactor Calculations." Diss., Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/16257.

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Current advancements in nuclear reactor core design are pushing reactor cores towards greater heterogeneity in an attempt to make nuclear power more sustainable in terms of fuel utilization and long-term disposal needs. These new designs are now being limited by the accuracy of the core simulators/methods. Increasing attention has been given to full core transport as the flux module in future core simulators. However, the current transport methods, due to their significant memory and computational time requirements, are not practical for whole core calculations. While most researchers are working on developing new acceleration and phase space parallelization techniques for the current fine mesh transport methods, this dissertation focuses on the development of a practical heterogeneous coarse mesh transport method. In this thesis, a heterogeneous coarse mesh transport method is extended from two to three dimensions in Cartesian geometry and new techniques are developed to reduce the strain on computational resources. The high efficiency of the method is achieved by decoupling the problem into a series of fixed source calculations in smaller sub-volume elements (e.g. coarse meshes). This decoupling lead to shifting the computation time to a priori calculations of response functions in unique sub-volumes in the system. Therefore, the method is well suited for large problems with repeated geometry such as those found in nuclear reactor cores. Even though the response functions can be generated with any available existing fine-mesh (deterministic or stochastic) code, a stochastic method was selected in this dissertation. Previous work in two dimensions used discrete polynomial expansions that are better suited for treating discrete variables found in pure deterministic transport methods. The amount of data needed to represent very heterogeneous problems accurately became quite large making the three dimensional extension impractical. The deterministic method was thus replaced by a stochastic response function generator making the transition to continuous variables fairly simple. This choice also improves the geometry handling capability of the coarse mesh method.

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Oterkus, Erkan. "Peridynamic Theory for Modeling Three-Dimensional Damage Growth in Metallic and Composite Structures." Diss., The University of Arizona, 2010. http://hdl.handle.net/10150/145366.

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A recently introduced nonlocal peridynamic theory removes the obstacles present in classical continuum mechanics that limit the prediction of crack initiation and growth in materials. It is also applicable at different length scales. This study presents an alternative approach for the derivation of peridynamic equations of motion based on the principle of virtual work. It also presents solutions for the longitudinal vibration of a bar subjected to an initial stretch, propagation of a pre-existing crack in a plate subjected to velocity boundary conditions, and crack initiation and growth in a plate with a circular cutout. Furthermore, damage growth in composites involves complex and progressive failure modes. Current computational tools are incapable of predicting failure in composite materials mainly due to their mathematical structure. However, the peridynamic theory removes these obstacles by taking into account non-local interactions between material points. Hence, an application of the peridynamic theory to predict how damage propagates in fiber reinforced composite materials subjected to mechanical and thermal loading conditions is presented. Finally, an analysis approach based on a merger of the finite element method and the peridynamic theory is proposed. Its validity is established through qualitative and quantitative comparisons against the test results for a stiffened composite curved panel with a central slot under combined internal pressure and axial tension. The predicted initial and final failure loads, as well as the final failure modes, are in close agreement with the experimental observations. This proposed approach demonstrates the capability of the PD approach to assess the durability of complex composite structures.

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Lan, Yueheng. "Dynamical systems approach to one-dimensional spatiotemporal chaos -- A cyclist's view." Diss., Available online, Georgia Institute of Technology, 2004:, 2004. http://etd.gatech.edu/theses/available/etd-10282004-154606/unrestricted/lan%5Fyueheng%5F200412%5Fphd.pdf.

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Thesis (Ph. D.)--Physics, Georgia Institute of Technology, 2005.<br>Jean Bellissard, Committee Member ; Turgay Uzer, Committee Member ; Roman Grigoriev, Committee Member ; Konstantin Mischaikow, Committee Member ; Predrag Cvitanovic, Committee Chair. Vita. Includes bibliographical references.

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