Relevant bibliographies by topics / Mathematics, speciality of Mathematical-Physics / Dissertations / Theses
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Dissertations / Theses on the topic 'Mathematics, speciality of Mathematical-Physics'

Author: Grafiati
Published: 4 September 2021
Last updated: 29 July 2025

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1

Sobrinho, José Laurindo de Góis Nóbrega. "The possibility of primordial black hole direct detection." Doctoral thesis, Universidade da Madeira, 2011. http://hdl.handle.net/10400.13/235.

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This thesis explores the possibility of directly detecting blackbody emission from Primordial Black Holes (PBHs). A PBH might form when a cosmological density uctuation with wavenumber k, that was once stretched to scales much larger than the Hubble radius during ination, reenters inside the Hubble radius at some later epoch. By modeling these uctuations with a running{tilt power{law spectrum (n(k) = n0 + a1(k)n1 + a2(k)n2 + a3(k)n3; n0 = 0:951; n1 = 􀀀0:055; n2 and n3 unknown) each pair (n2,n3) gives a di erent n(k) curve with a maximum value (n+) located at some instant (t+). The (n+,t
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2

Conatser, Dean G. "Forecasting U.S. Marine Corps reenlistments by military occupational specialty and grade." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2006. http://library.nps.navy.mil/uhtbin/hyperion/06Sep%5FConatser.pdf.

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Thesis (M.S. in Operations Research)--Naval Postgraduate School, September 2006.<br>Thesis Advisor(s): Ronald D. Fricker. "September 2006." Includes bibliographical references (p. 49-50). Also available in print.
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Nam, Jayoung. "Mathematical studies on the human eye." [Bloomington, Ind.] : Indiana University, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3274988.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2007.<br>Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4528. Adviser: Jacob Rubinstein. Title from dissertation home page (viewed Apr. 22, 2008).
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4

Gomez, Austin G. "Invisibility: A Mathematical Perspective." Scholarship @ Claremont, 2013. http://scholarship.claremont.edu/cmc_theses/698.

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The concept of rendering an object invisible, once considered unfathomable, can now be deemed achievable using artificial metamaterials. The ability for these advanced structures to refract waves in the negative direction has sparked creativity for future applications. Manipulating electromagnetic waves of all frequencies around an object requires precise and unique parameters, which are calculated from various mathemat- ical laws and equations. We explore the possible interpretations of these parameters and how they are implemented towards the construction of a suitable metamaterial. If carri
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5

Woo, Jung Min. "Two mathematical problems in disordered systems." Diss., The University of Arizona, 2000. http://hdl.handle.net/10150/289124.

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Two mathematical problems in disordered systems are studied: geodesics in first-passage percolation and conductivity of random resistor networks. In first-passage percolation, we consider a translation-invariant ergodic family {t(b): b bond of Z²} of nonnegative random variables, where t(b) represent bond passage times. Geodesics are paths in Z², infinite in both directions, each of whose finite segments is time-minimizing. We prove part of the conjecture that geodesics do not exist in any fixed half-plane and that they have to intersect all straight lines with rational slopes. In random resi
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Sadaghiani, Homeyra R. "Conceptual and mathematical barriers to students learning quantum mechanics." Connect to resource, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1123878116.

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Thesis (Ph. D.)--Ohio State University, 2005.<br>Title from first page of PDF file. Document formatted into pages; contains xvii, 321 p.; also includes graphics (some col.). Includes bibliographical references. Available online via OhioLINK's ETD Center
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Ahmed, Israr. "Mathematical and computational modelling of soft and active matter." Thesis, University of Central Lancashire, 2016. http://clok.uclan.ac.uk/18641/.

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The collective motion of organisms such as flights of birds, swimming of school of fish, migration of bacteria and movement of herds across long distances is a fascinating phenomenon that has intrigued man for centuries. Long and details observations have resulted in numerous abstract hypothesis and theories regarding the collective motion animals and organisms. In recent years the developments in supercomputers and general computational power along with highly refined mathematical theories and equations have enabled the collective motion of particles to be investigated in a logical and system
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8

Olofsson, Rikard. "Problems in Number Theory related to Mathematical Physics." Doctoral thesis, Stockholm : Engineering sciences, Kungliga Tekniska högskolan, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-9514.

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9

Shah, Priti. "Mathematical modelling of flow and combustion in internal combustion engines." Thesis, University of Greenwich, 1989. http://gala.gre.ac.uk/8703/.

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The research work reported herein addresses the problem of mathematical modelling of fluid flow and combustion in internal combustion engines. In particular, the investigation of three topics that constitute prime sources of uncertainty, in current numerical models, namely turbulence modelling, inaccuracies in the solution procedure specific to moving grids, and combustion modelling. Two and three-dimensional computations of the in-cylinder turbulent flow in a diesel engine are described first, with emphasis on the modifications made to the standard k- model of turbulence to account for rapid
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10

Wallace, Michelle L. Ellerton Nerida F. "Characterization of high school mathematics and physics language genres." Normal, Ill. : Illinois State University, 2004. http://wwwlib.umi.com/cr/ilstu/fullcit?p3127139.

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Thesis (Ph. D.)--Illinois State University, 2004.<br>Title from title page screen, viewed Jan. 21, 2005. Dissertation Committee: Nerida F. Ellerton (chair), Sherry L. Meier, Sharon Soucy McCrone, Tami S. Martin. Includes bibliographical references (leaves 153-163) and abstract. Also available in print.
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11

Simoneau, Andre. "An Overview of Computational Mathematical Physics: A Deep Dive on Gauge Theories." Scholarship @ Claremont, 2019. https://scholarship.claremont.edu/cmc_theses/2182.

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Over the course of a college mathematics degree, students are inevitably exposed to elementary physics. The derivation of the equations of motion are the classic examples of applications of derivatives and integrals. These equations of motion are easy to understand, however they can be expressed in other ways that students aren't often exposed to. Using the Lagrangian and the Hamiltonian, we can capture the same governing dynamics of Newtonian mechanics with equations that emphasize physical quantities other than position, velocity, and acceleration like Newton's equations do. Building o of th
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12

Mazzali, Ugo. "Caratterizzazione di componenti speciali dell'involucro edilizio." Doctoral thesis, Università degli studi di Padova, 2014. http://hdl.handle.net/11577/3423514.

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In last decades, environmental aspects and in particular energy consumptions related to whole building life cycle have become an important field of research both at institutional level and in the discussions of a public opinion which is increasingly sensible to these aspects. This research study aims to investigate thermophysical behaviour of Living Walls, a new kind of vertical green cladding installed on external facades of building envelope. In the first chapter, the state of the art of the international research panorama on vertical greenery and in particular on Living Walls is propo
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13

De, Matteis Giovanni. "Mathematical models for biaxial nematic liquid crystals." Doctoral thesis, Scuola Normale Superiore, 2005. http://hdl.handle.net/11384/85713.

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14

Chemama, Michael Leopold. "Flames, Splashes and Microdroplets: A Mathematical Approach to Three Fluid Dynamics Problems." Thesis, Harvard University, 2015. http://nrs.harvard.edu/urn-3:HUL.InstRepos:14226101.

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Three different problems in fluid mechanics are presented in this thesis. The first one deals with the mechanism behind the extinction of a flame by an alternating electric field. A simple model for the interaction between the field and the ions produced by the reaction is presented, which agrees quantitatively with the experiments. It also indicates that charges diffusion is responsible for the non-zero time averaged force on the flame. The second problem focuses on the role of viscosity during the splash of liquid droplets. We show that contrary to what was done in previous theoretical studi
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15

Mansfield, Shane. "The mathematical structure of non-locality and contextuality." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:394bb375-db3f-4a12-bdd8-cd1ab5809573.

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Non-locality and contextuality are key features of quantum mechanics that distinguish it from classical physics. We aim to develop a deeper, more structural understanding of these phenomena, underpinned by robust and elegant mathematical theory with a view to providing clarity and new perspectives on conceptual and foundational issues. A general framework for logical non-locality is introduced and used to prove that 'Hardy's paradox' is complete for logical non-locality in all (2,2,l) and (2,k,2) Bell scenarios, a consequence of which is that Bell states are the only entangled two-qubit states
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16

Johnson, Fen Rui. "A study of finite and linear elasticity." CSUSB ScholarWorks, 1996. https://scholarworks.lib.csusb.edu/etd-project/1096.

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17

Lundberg, Erik. "Problems in Classical Potential Theory with Applications to Mathematical Physics." Scholar Commons, 2011. http://scholarcommons.usf.edu/etd/3220.

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In this thesis we are interested in some problems regarding harmonic functions. The topics are divided into three chapters. Chapter 2 concerns singularities developed by solutions of the Cauchy problem for a holomorphic elliptic equation, especially Laplace's equation. The principal motivation is to locate the singularities of the Schwarz potential. The results have direct applications to Laplacian growth (or the Hele-Shaw problem). Chapter 3 concerns the Dirichlet problem when the boundary is an algebraic set and the data is a polynomial or a real-analytic function. We pursue some questions r
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18

Bouya, Ismaël. "Instabilités en magnétohydrodynamique." Phd thesis, Université Paris-Diderot - Paris VII, 2013. http://tel.archives-ouvertes.fr/tel-00867318.

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La magnétohydrodynamique, ou effet dynamo, consiste en la génération d'énergie électrique à partir d'énergie mécanique. Plus précisément, on étudie l'évolution d'un champ magnétique généré par un fluide conducteur. Ce phénomène se retrouve dans les planètes, les étoiles, ou même les galaxies, où le champ magnétique provient du mouvement interne. Dans cette thèse, nous nous intéressons plus précisément aux instabilités en magnétohydrodynamique : partant d'un fluide conducteur sans champs magnétique, est-ce qu'une perturbation légère de l'écoulement et du champ magnétique (par exemple, un résidu
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19

McKinley, Michael Scott. "Higher-order boundary condition perturbation methods in transport and diffusion theory." Diss., Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/16034.

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20

Luque, Jean-Gabriel. "Invariants des hypermatrices." Habilitation à diriger des recherches, Université de Marne la Vallée, 2008. http://tel.archives-ouvertes.fr/tel-00250312.

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Ce mémoire est consacré à la théorie des invariants des hypermatrices. <br />L'origine de la théorie des invariants date du milieu du XIX ième siècle. Le problème général, tel qu'il fut énoncé par Cayley en 1843, consiste à trouver une description de l'algèbre des polynômes invariants dans le but d'automatiser le raisonnement géométrique. <br />Assez rapidement de fortes limitations dues à la taille des calculs se manifestèrent et cette discipline se trouva de moins en moins étudiées jusque dans les années 1950 lorsque fut développée la théorie géométrique des invariants. De nos jours, l'accro
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21

Muir, Stuart. "A relativisitic, 3-dimensional smoothed particle hydrodynamics (SPH) algorithm and its applications." Monash University, School of Mathematical Sciences, 2003. http://arrow.monash.edu.au/hdl/1959.1/9513.

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22

Mouchet, Amaury. "Effet tunnel chaotique - Méthode différentielle." Habilitation à diriger des recherches, Université François Rabelais - Tours, 2006. http://tel.archives-ouvertes.fr/tel-00129400.

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Ce mémoire d'Habilitation à Diriger des Recherches présente de<br /> façon<br />synthétique mon activité professionnelle s'étalant sur une période qui<br />couvre mon activité de recherche au Laboratoire de Mathématiques et de<br />Physique Théorique depuis le printemps \oldstyle{1997} en tant que ma\^{\i}tre de conférences<br />de l'université François Rabelais de Tours.<br /><br />Après une fiche signalétique qui décrit surtout mon activité<br />d'enseignement, d'administration et d'animation au sein du département<br />de physique et du laboratoire, ce mémoire s'articule autour de deux<br /
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23

Armengaud, Éric. "Propagation et distribution sur le ciel des rayons cosmiques d'ultra-hauteénergie dans le cadre de l'Observatoire Pierre Auger." Phd thesis, Université Paris-Diderot - Paris VII, 2006. http://tel.archives-ouvertes.fr/tel-00078124.

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L'origine des rayons cosmiques d'ultra haute énergie reste une énigme de<br />la physique contemporaine, que l'Observatoire Pierre Auger, détecteur<br />hybride d'une taille inégalée, va tenter de résoudre. L'observation<br />directe des sources de ces particules, ou de structures à grande échelle<br />sur le ciel associées à ces sources, est un des premiers objectifs de<br />cet observatoire. De telles observations permettront aussi de contraindre la<br />propagation des rayons cosmiques, qui, entre leurs sources et la Terre,<br />subissent d'une part des interactions sur des fonds de photons
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24

Einav, Amit. "Two problems in mathematical physics: Villani's conjecture and trace inequality for the fractional Laplacian." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/42788.

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The presented work deals with two distinct problems in the field of Mathematical Physics. The first part is dedicated to an 'almost' solution of Villani's conjecture, a known conjecture related to a Statistical Mechanics model invented by Kac in 1956, giving a rigorous explanation of some simple cases of the Boltzmann equation. In 2003 Villani conjectured that the time it will take the system of particles in Kac's model to equilibrate is proportional to the number of particles in the system. Our main result in this part is a proof, up to an epsilon, of that conjecture, showing that for all pra
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25

Fluder, Martin Felix. "Aspects of the class S superconformal index, and gauge/gravity duality in five/six dimensions." Thesis, University of Oxford, 2015. http://ora.ox.ac.uk/objects/uuid:3362dc52-f87c-4d58-bf82-eeb9a46f8fb3.

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In the first part of this thesis, we discuss some aspects of the four-dimensional N = 2 superconformal index of theories of class S. We first consider a generalized index on S<sup>1</sup> × S<sup>3</sup>/Z<sub>r</sub>, and prove S-duality in a particular fugacity slice. We then go on to study the (round) superconformal index in the presence of surface defects. We develop a systematic prescription to compute surface defects labeled by arbitrary irreducible representations of the gauge group and subject those defects to various tests in several different limits. Each of these limits is interesti
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Colman, Ewan. "Structure and dynamics of evolving complex networks." Thesis, Brunel University, 2014. http://bura.brunel.ac.uk/handle/2438/9208.

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The analysis of large disordered complex networks has recently received enormous attention motivated by both academic and commercial interest. The most important results in this discipline have come from the analysis of stochastic models which mimic the growth and evolution of real networks as they change over time. The purpose of this thesis is to introduce various novel processes which dictate the development of a network on a small scale, and use techniques learned from statistical physics to derive the dynamical and structural properties of the network on the macroscopic scale. We introduc
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Muhamed, Abera Ayalew. "Moduli spaces of topological solitons." Thesis, University of Kent, 2015. https://kar.kent.ac.uk/47961/.

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This thesis presents a detailed study of phenomena related to topological solitons (in $2$-dimensions). Topological solitons are smooth, localised, finite energy solutions in non-linear field theories. The problems are about the moduli spaces of lumps in the projective plane and vortices on compact Riemann surfaces. Harmonic maps that minimize the Dirichlet energy in their homotopy classes are known as lumps. Lump solutions in real projective space are explicitly given by rational maps subject to a certain symmetry requirement. This has consequences for the behaviour of lumps and their symmetr
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Whelchel, Pamela Jean. "Analysis on a hyperplane of the quaternions." CSUSB ScholarWorks, 1995. https://scholarworks.lib.csusb.edu/etd-project/1221.

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Molefe, Franscinah Kefilwe. "Mathematical knowledge and skills needed in physics education for grades 11 and 12 / Franscinah Kefilwe Molefe." Thesis, North-West University, 2006. http://hdl.handle.net/10394/1238.

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The performance of mathematics and physical science students are very low in South Africa. These students lack algebraic knowledge and skills in physics education. They tend to treat mathematics and science as separate entities; to them the two subjects are not related. Even the teachers seem not to realise the interrelationship of the two subjects, because according to the research, they perpetuate this attitude. A possible reason could be that they are unfamiliar with common objectives and applications. Knowledge of science is enhanced by the application of mathematics, but the role of mathe
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Boonserm, Petarpa. "Rigorous bounds on transmission, reflection, and Bogoliubov coefficients : a thesis submitted to the Victoria University of Wellington in fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics /." ResearchArchive@Victoria e-Thesis, 2009. http://hdl.handle.net/10063/942.

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31

Maldonado, Cesar. "Sur la concentration, le bruit et l'estimation de l'entropie dans le systèmes dynamiques." Phd thesis, Ecole Polytechnique X, 2012. http://pastel.archives-ouvertes.fr/pastel-00734697.

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Cette thèse est divisée en trois parties. Dans la prèmiere partie nous décrivons les systèmes dynamiques que l'on considère tout au long de la thèse. Nous donnons aussi des résultats connus sur les fluctuations d'observables dans les systèmes dynamiques tels comme la théorème central limite, les grands déviations et les inégalités de concentration. La deuxième partie de cette thèse est consacrée aux systèmes dynamiques perturbés par un bruit observationnel. Nous démontrons que si un système dynamique satisfait une inégalité de concentration alors le système perturbé satisfait lui aussi une iné
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32

Savoie, Baptiste. "DIAMAGNETISME DES GAZ QUANTIQUES QUASI-PARFAITS." Phd thesis, Université de la Méditerranée - Aix-Marseille II, 2010. http://tel.archives-ouvertes.fr/tel-00545831.

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La majeure partie de cette thèse concerne l'étude de la susceptibilité diamagnétique en champ magnétique nul d'un gaz d'électrons de Bloch à température et densité fixées dans la limite des faibles températures. Pour les électrons libres (i.e. en l'absence de potentiel périodique), la susceptibilité diamagnétique a été calculée par L. Landau en 1930; le résultat est connu sous le nom de formule de Landau. Quant au cas des électrons de Bloch, E.R. Peierls montra en 1933 que dans l'approximation des électrons fortement liés, la formule pour la susceptibilité diamagnétique reste la même en rempla
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Cattoën, Céline. "Applied mathematics of space-time & space+time : problems in general relativity and cosmology : a thesis submitted to the Victoria University of Wellington in fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics /." ResearchArchive@Victoria e-thesis, 2009. http://hdl.handle.net/10063/972.

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Stutsman, Michelle Diane. "Semisimplicity for Hopf algebras." CSUSB ScholarWorks, 1996. https://scholarworks.lib.csusb.edu/etd-project/1247.

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Wang, Stephen. "Zeta Function Regularization and its Relationship to Number Theory." Digital Commons @ East Tennessee State University, 2021. https://dc.etsu.edu/etd/3895.

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While the "path integral" formulation of quantum mechanics is both highly intuitive and far reaching, the path integrals themselves often fail to converge in the usual sense. Richard Feynman developed regularization as a solution, such that regularized path integrals could be calculated and analyzed within a strictly physics context. Over the past 50 years, mathematicians and physicists have retroactively introduced schemes for achieving mathematical rigor in the study and application of regularized path integrals. One such scheme was introduced in 2007 by the mathematicians Klaus Kirsten and
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Randon-Furling, Julien. "Statistiques d'extrêmes du mouvement brownien et applications." Phd thesis, Université Paris Sud - Paris XI, 2009. http://tel.archives-ouvertes.fr/tel-00524212.

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L'objet de cette thèse est l'étude de problèmes faisant intervenir les extrema du mouvement brownien en dimension 1 et 2. En dimension 1, y sont obtenues, en particulier, les distributions jointes du maximum et du temps d'atteinte de ce maximum pour n mouvements browniens indépendants sur un intervalle de temps fixé. En dimension 2, à l'aide des résultats en dimension 1, sont obtenues les valeurs moyennes du périmètre et de l'aire de l'enveloppe convexe de n chemins browniens indépendants, ouverts ou fermés. Quelques applications de ces résultats théoriques sont également présentées.
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Touya, Clément. "Etude de modeles dynamiques pour la transition vitreuse." Phd thesis, Université Paul Sabatier - Toulouse III, 2009. http://tel.archives-ouvertes.fr/tel-00550224.

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Cette these presente l''etude de la dynamique de modeles, dans le cadre de la transition vitreuse dont une comprehension complete echappe encore a la physique moderne. Nous avons donc, a l'aide de modeles jouets, etudie certaines de ses proprietes caracteristiques. Par exemple, lorsque l'on s'approche de la transition, la dynamique de relaxation du systeme va dramatiquement ralentir. Pour etudier ces systemes intrinsequement hors-equilibre, le principal paradigme utilise dans cette these, est celui des milieux desordonnes. Sous certaines conditions, il va exister une analogie entre le modele d
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Ferguson, James. "Geometric structures on the target space of Hamiltonian evolution equations." Thesis, Connect to e-thesis, 2008. http://theses.gla.ac.uk/206/.

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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 Mathematics, 2008. Includes bibliographical references. Print version also available.
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Ho, Yanfang. "Group theoretical analysis of in-shell interaction in atoms." Scholarly Commons, 1985. https://scholarlycommons.pacific.edu/uop_etds/487.

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A group theoretic approach to Layzer's 1/2 expansion method is explored. In part this builds on earlier work of Wulfman(2), of Moshinsky et al(l4), and of Sinanoglu, Herrick(lS), and Kellman (16) on second row atoms. I investigate atoms with electrons in the 3s-3p-3d shell and find: 1. Wulfman's constant of motion accurately predicts configuration mixing for systems with two to eight electrons in the 3s-3p subshell. 2. The same constant of motion accurately predicts configuration mixing for systems with two electrons in the 3s-3p-3d shell. 3. It accurately predicts configuration mixing in syst
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Noon, Jacob. "Relativistic Treatment of Confined Hydrogen Atoms via Numerical Approximations." University of Toledo / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=toledo152537571683933.

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41

Roubert, Benoit. "Approche semi-classique de l'information quantique." Phd thesis, Université Paul Sabatier - Toulouse III, 2010. http://tel.archives-ouvertes.fr/tel-00543963.

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Aujourd'hui, une large communauté de scientifiques travaille en vue de la réalisation d'un ordinateur quantique, une machine dont il est montré qu'elle peut offrir, au moins en théorie, et en particulier pour les problèmes dont la complexité croît exponentiellement avec la taille du système, des performances inaccessibles à ses homologues classiques. Cette thèse s'intéresse à la possibilité de réaliser une approche semi-classique de l'information quantique dans deux domaines d'intérêt : celui du clonage approché d'un qubit, et celui de l'amplification de spins dans des chaînes de spins. Dans l
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Binh, Thanh Nguyen. "Localisation des fonctions propres du Laplacien dans des domaines simples et irréguliers." Phd thesis, Ecole Polytechnique X, 2012. http://pastel.archives-ouvertes.fr/pastel-00764806.

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The primary goal of the thesis is to study localization of Laplacian eigenfunctions in bounded domains when an eigenfunction is mainly supported by a small region of the domain and vanishing outside this region. The high-frequency and low-frequency localization in simple and irregular domains has been investigated for both Dirichlet and Neumann boundary conditions. Three types of high-frequency localization (whispering gallery, bouncing ball, and focusing eigemodes) have been revisited in circular, spherical and elliptical domains by deriving explicit inequalities on the norm of eigenfunctions
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Levy, Cyril. "Action spectrale en géométrie non commutative et calcul pseudodifférentiel global." Phd thesis, Université de Provence - Aix-Marseille I, 2009. http://tel.archives-ouvertes.fr/tel-00413717.

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Dans cette thèse nous avons étudié certaines questions mathématiques associées au calcul de l'action spectrale de Chamseddine--Connes sur des exemples fondamentaux de triplets spectraux non commutatifs, tels que le tore non commutatif et la 3-sphère quantique SUq(2). Nous avons montré en particulier qu'une condition diophantienne sur la matrice de déformation du tore est cruciale pour obtenir l'action spectrale en tenant compte de la structure réelle. <br />Nous avons aussi étudié la question de l'existence de tadpoles (termes linéaires par rapport au potentiel de jauge de la fluctuation de la
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Aiello, Gordon J. "An application of the theory of moments to Euclidean relativistic quantum mechanical scattering." Diss., University of Iowa, 2017. https://ir.uiowa.edu/etd/5902.

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One recipe for mathematically formulating a relativistic quantum mechanical scattering theory utilizes a two-Hilbert space approach, denoted by $\mathcal{H}$ and $\mathcal{H}_{0}$, upon each of which a unitary representation of the Poincaré Lie group is given. Physically speaking, $\mathcal{H}$ models a complicated interacting system of particles one wishes to understand, and $\mathcal{H}_{0}$ an associated simpler (i.e., free/noninteracting) structure one uses to construct 'asymptotic boundary conditions" on so-called scattering states in $\mathcal{H}$. Simply put, $\mathcal{H}_{0}$ is an att
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45

Smerlak, Matteo. "Divergence des mousses de spins : comptage de puissance et resommation dans le modèle plat." Phd thesis, Université de la Méditerranée - Aix-Marseille II, 2011. http://tel.archives-ouvertes.fr/tel-00662170.

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L'objet de cette thèse est l'étude du modèle plat, l'ingrédient principal du programme de quantification de la gravité par les mousses de spins, avec un accent particulier sur ses divergences. Outre une introduction personnelle au problème de la gravité quantique, le manuscrit se compose de deux parties. Dans la première, nous obtenons une formule exacte pour le comptage de puissances des divergences de bulles dans le modèle plat, notamment grâce à des outils de théorie de jauge discrète et de cohomologie tordue. Dans la seconde partie, nous considérons le problème de la limite continue des mo
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46

Bellet, Jean-Baptiste. "Identification par imagerie laser d'un objet dissimulé - Aspects mathématiques et numériques." Phd thesis, Ecole Polytechnique X, 2010. http://pastel.archives-ouvertes.fr/pastel-00549386.

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Nous nous intéressons à l'imagerie d'un objet enfoui dans un milieu multi-couches inhomogène, avec des données ne contenant pas la phase. Nous résolvons un problème direct modèle de propagation des ondes dans un tel milieu, à l'aide de l'analyse asymptotique et des équations intégrales. Puis nous développons des algorithmes de reconstruction à base de dérivée topologique et des techniques de l'optimisation de forme.
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47

Santacesaria, Matteo. "Unicité, reconstruction, stabilité pour des problèmes inverses bidimensionnels." Phd thesis, Ecole Polytechnique X, 2012. http://pastel.archives-ouvertes.fr/pastel-00759992.

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Dans cette thèse nous étudions quelques problèmes inverses de valeurs au bord en dimension deux. Les problèmes considérés sont le problème de Calderon et le problème de Gel'fand-Calderon dans le cas scalaire et multi-canal, c'est-à-dire matriciel : cela peut etre vu notamment comme une approximation non-surdéterminée du cas tridimensionnel. Nous montrons d'abord quelques résultats pour le problème de Calderon anisotrope : nous présentons une nouvelle formulation du résultat d'unicité sur le plan ainsi que le premier résultat d'unicité globale pour le cas des surfaces à bord. Après, nous démont
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48

Quéré, Pierre-Vincent. "Les mathématiques dans la formation des ingénieurs et sur leur lieu de travail : études et propositions (cas de la France)." Thesis, Brest, 2019. http://www.theses.fr/2019BRES0041/document.

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Dans cette thèse, nous poursuivons deux principaux objectifs : comparer l’utilisation des mathématiques par les ingénieurs sur leur lieu de travail avec la formation de mathématiques qu’ils reçoivent en France, et proposer un enseignement innovant qui pourrait permettre de rapprocher la formation des besoins révélés. Nous utilisons le cadre de la Théorie Anthropologique du Didactique et nous commençons par définir la notion de « praxéologie mathématique » pour analyser l’activité mathématique des ingénieurs dans les institutions qu’ils sont amenés à fréquenter. Nous classons en deux catégories
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49

Boukari, Yosra. "Méthodes innovantes en contrôle non destructif des structures: applications à la détection de fissures." Phd thesis, Ecole Polytechnique X, 2012. http://pastel.archives-ouvertes.fr/pastel-00702479.

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L'application des problèmes inverses de diffraction à la détection de fissures via l'utilisation d'ondes acoustiques, électromagnétiques ou élastiques s'élargit dans de nombreux domaines. Des exemples d'application incluent le contrôle non destructif, la prospection géophysique... Cette thèse a pour objectif d'identifier des fissures en utilisant des méthodes d'échantillonnage bien connues. Dans ce travail, nous utilisons la Linear Sampling Method et la méthode de Factorisation pour reconstruire la géométrie de fissures à partir de plusieurs données statiques de champs lointains dans le cas de
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50

Bott, Christopher James. "Mirror Symmetry for K3 Surfaces with Non-symplectic Automorphism." BYU ScholarsArchive, 2018. https://scholarsarchive.byu.edu/etd/7456.

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Mirror symmetry is the phenomenon, originally discovered by physicists, that Calabi-Yau manifolds come in dual pairs, with each member of the pair producing the same physics. Mathematicians studying enumerative geometry became interested in mirror symmetry around 1990, and since then, mirror symmetry has become a major research topic in pure mathematics. One important problem in mirror symmetry is that there may be several ways to construct a mirror dual for a Calabi-Yau manifold. Hence it is a natural question to ask: when two different mirror symmetry constructions apply, do they agree?We sp
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