DES GROUPES INFINIS DE SYMETRIES EN MECANIQUE STATISTIQUE AUX SYSTEMES DYNAMIQUES DISCRETS

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ISBN 13 :
Total Pages : 319 pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis DES GROUPES INFINIS DE SYMETRIES EN MECANIQUE STATISTIQUE AUX SYSTEMES DYNAMIQUES DISCRETS by : GENEVIEVE.. ROLLET

Download or read book DES GROUPES INFINIS DE SYMETRIES EN MECANIQUE STATISTIQUE AUX SYSTEMES DYNAMIQUES DISCRETS written by GENEVIEVE.. ROLLET and published by . This book was released on 1994 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: CETTE THESE SE SITUE AU CARREFOUR DE LA MECANIQUE STATISTIQUE SUR RESEAU ET DES SYSTEMES DYNAMIQUES DISCRETS. LE LIEN ENTRE CES DOMAINES APPARAIT A TRAVERS L'EXISTENCE DE GROUPES INFINIS DISCRETS DE SYMETRIES DES MODELES DE MECANIQUE STATISTIQUE QUE NOUS REPRESENTONS PAR DES GROUPES DE TRANSFORMATIONS BIRATIONNELLES. NOUS RAPPELONS TOUT D'ABORD QUELQUES NOTIONS SUR LES EQUATIONS DE YANG-BAXTER ET LEURS GENERALISATIONS ; LEUR LIEN A L'INTEGRALITE QUANTIQUE ET LA CONSTRUCTION D'UN GROUPE INFINI DISCRET D'AUTOMORPHISMES DE L'ENSEMBLE DE LEURS SOLUTIONS. NOUS PRESENTONS ENSUITE DES METHODES ALGEBRIQUES ET NUMERIQUES D'ETUDE DES TRANSFORMATIONS BIRATIONNELLES EN TANT QUE TELLES. POUR CETTE ANALYSE, NOUS CONSTRUISONS DE NOMBREUX SYSTEMES DYNAMIQUES DISCRETS DE NATURES DIFFERENTES: CERTAINS SONT INTEGRABLES ET LEURS ORBITES DEFINISSENT DES COURBES ELLIPTIQUES, D'AUTRES, PAR ITERATIONS, DECRIVENT DES VARIETES DE DIMENSION PLUS GRANDE QUE DEUX DE FACON REGULIERE, MAIS APPARAISSENT AUSSI DES SITUATIONS INTERMEDIAIRES ENTRE REGULARITE ET CHACS POUR DES TRANSFORMATIONS DITES PRESQUE INTEGRABLES. ENFIN, NOUS APPLIQUONS CES METHODES A DES MODELES DE MECANIQUE STATISTIQUE, D'UNE PART POUR ANALYSER LEURS DIAGRAMMES DE PHASES, D'AUTRE PART POUR RECHERCHER DES SITUATIONS FAVORABLES A L'INTEGRABILITE POUR DES MODELES DE DIMENSION TROIS ET PLUS

Quantum Mechanics, Volume 3

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Publisher : John Wiley & Sons
ISBN 13 : 3527345558
Total Pages : 790 pages
Book Rating : 4.5/5 (273 download)

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Book Synopsis Quantum Mechanics, Volume 3 by : Claude Cohen-Tannoudji

Download or read book Quantum Mechanics, Volume 3 written by Claude Cohen-Tannoudji and published by John Wiley & Sons. This book was released on 2019-12-16 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.

Symmetry

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Publisher : Princeton University Press
ISBN 13 : 1400874343
Total Pages : 176 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Symmetry by : Hermann Weyl

Download or read book Symmetry written by Hermann Weyl and published by Princeton University Press. This book was released on 2015-07-06 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is a classic study of symmetry in mathematics, the sciences, nature, and art from one of the twentieth century's greatest mathematicians. Hermann Weyl explores the concept of symmetry beginning with the idea that it represents a harmony of proportions, and gradually departs to examine its more abstract varieties and manifestations—as bilateral, translatory, rotational, ornamental, and crystallographic. Weyl investigates the general abstract mathematical idea underlying all these special forms, using a wealth of illustrations as support. Symmetry is a work of seminal relevance that explores the great variety of applications and importance of symmetry.

Integrable Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461203155
Total Pages : 368 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Integrable Systems by : V. Babelon

Download or read book Integrable Systems written by V. Babelon and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.-L. Verdier. It was held on July 1-5, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinite-dimensional, with an emphasis on the algebro-geometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them.

African Doctorates in Mathematics

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Publisher : Lulu.com
ISBN 13 : 1430318678
Total Pages : 385 pages
Book Rating : 4.4/5 (33 download)

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Book Synopsis African Doctorates in Mathematics by :

Download or read book African Doctorates in Mathematics written by and published by Lulu.com. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)

Noncommutative Geometry

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Publisher : Springer
ISBN 13 : 3540397027
Total Pages : 364 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Noncommutative Geometry by : Alain Connes

Download or read book Noncommutative Geometry written by Alain Connes and published by Springer. This book was released on 2003-12-15 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.

Dynamique Non-linéaire Et Le Chaos

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Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Dynamique Non-linéaire Et Le Chaos by :

Download or read book Dynamique Non-linéaire Et Le Chaos written by and published by . This book was released on 1993 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory of Reproducing Kernels and Applications

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Publisher : Springer
ISBN 13 : 9789811005299
Total Pages : 0 pages
Book Rating : 4.0/5 (52 download)

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Book Synopsis Theory of Reproducing Kernels and Applications by : Saburou Saitoh

Download or read book Theory of Reproducing Kernels and Applications written by Saburou Saitoh and published by Springer. This book was released on 2016-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a large extension of the general theory of reproducing kernels published by N. Aronszajn in 1950, with many concrete applications.In Chapter 1, many concrete reproducing kernels are first introduced with detailed information. Chapter 2 presents a general and global theory of reproducing kernels with basic applications in a self-contained way. Many fundamental operations among reproducing kernel Hilbert spaces are dealt with. Chapter 2 is the heart of this book.Chapter 3 is devoted to the Tikhonov regularization using the theory of reproducing kernels with applications to numerical and practical solutions of bounded linear operator equations.In Chapter 4, the numerical real inversion formulas of the Laplace transform are presented by applying the Tikhonov regularization, where the reproducing kernels play a key role in the results.Chapter 5 deals with ordinary differential equations; Chapter 6 includes many concrete results for various fundamental partial differential equations. In Chapter 7, typical integral equations are presented with discretization methods. These chapters are applications of the general theories of Chapter 3 with the purpose of practical and numerical constructions of the solutions.In Chapter 8, hot topics on reproducing kernels are presented; namely, norm inequalities, convolution inequalities, inversion of an arbitrary matrix, representations of inverse mappings, identifications of nonlinear systems, sampling theory, statistical learning theory and membership problems. Relationships among eigen-functions, initial value problems for linear partial differential equations, and reproducing kernels are also presented. Further, new fundamental results on generalized reproducing kernels, generalized delta functions, generalized reproducing kernel Hilbert spaces, andas well, a general integral transform theory are introduced.In three Appendices, the deep theory of Akira Yamada discussing the equality problems in nonlinear norm inequalities, Yamada's unified and generalized inequalities for Opial's inequalities and the concrete and explicit integral representation of the implicit functions are presented.

Shadowing in Dynamical Systems

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Publisher : Springer
ISBN 13 : 3540484299
Total Pages : 284 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Shadowing in Dynamical Systems by : Sergei Yu. Pilyugin

Download or read book Shadowing in Dynamical Systems written by Sergei Yu. Pilyugin and published by Springer. This book was released on 2006-11-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods.

Séminaire de Probabilités XXXVIII

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540239734
Total Pages : 408 pages
Book Rating : 4.2/5 (397 download)

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Book Synopsis Séminaire de Probabilités XXXVIII by : Michel Émery

Download or read book Séminaire de Probabilités XXXVIII written by Michel Émery and published by Springer Science & Business Media. This book was released on 2004-12-02 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Besides a series of six articles on Lévy processes, Volume 38 of the Séminaire de Probabilités contains contributions whose topics range from analysis of semi-groups to free probability, via martingale theory, Wiener space and Brownian motion, Gaussian processes and matrices, diffusions and their applications to PDEs. As do all previous volumes of this series, it provides an overview on the current state of the art in the research on stochastic processes.

Generalized Feynman Amplitudes. (AM-62), Volume 62

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Publisher : Princeton University Press
ISBN 13 : 1400881862
Total Pages : 312 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Generalized Feynman Amplitudes. (AM-62), Volume 62 by : Eugene R. Speer

Download or read book Generalized Feynman Amplitudes. (AM-62), Volume 62 written by Eugene R. Speer and published by Princeton University Press. This book was released on 2016-03-02 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an arbitrary interaction. The author also introduces a new method of renormalizing an arbitrary Feynman amplitude, a method that is simpler than previous approaches and can be used to study the renormalized perturbation series in quantum field theory.

Coefficient Regions for Schlicht Functions

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Publisher : American Mathematical Soc.
ISBN 13 : 1470429101
Total Pages : 330 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Coefficient Regions for Schlicht Functions by : A. C. Schaeffer

Download or read book Coefficient Regions for Schlicht Functions written by A. C. Schaeffer and published by American Mathematical Soc.. This book was released on 2016-06-09 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Instead of investigating various isolated extremal problems in the theory of schlicht functions, the authors have concentrated their efforts on the investigation of the family of extremal schlicht functions in the large.

The Theory of Propellers

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Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (126 download)

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Book Synopsis The Theory of Propellers by : Theodore Theodorsen

Download or read book The Theory of Propellers written by Theodore Theodorsen and published by . This book was released on 1944 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summary: A technical method is given for calculating the axial interference velocity of a propeller. The method involves the use of certain weight functions P, Q, and F. Numerical values for the weight functions are given for two-blade, three-blade, and six-blade propellers.

Relativistic Hydrodynamics and Magnetohydrodynamics

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Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Relativistic Hydrodynamics and Magnetohydrodynamics by : André Lichnerowicz

Download or read book Relativistic Hydrodynamics and Magnetohydrodynamics written by André Lichnerowicz and published by . This book was released on 1967 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Mechanics, Mathematics, Cognition and Action

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Publisher : Springer Science & Business Media
ISBN 13 : 1402011202
Total Pages : 502 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Quantum Mechanics, Mathematics, Cognition and Action by : Mioara Mugur-Schächter

Download or read book Quantum Mechanics, Mathematics, Cognition and Action written by Mioara Mugur-Schächter and published by Springer Science & Business Media. This book was released on 2003-01-31 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: And starting from there, it can induce an explicit understanding of certain fundamental features of the new scientific thinking. A formalized epistemology should not be mistaken for a crossdisciplinary or a multidisciplinary project. The latter projects are designed to offer to nonspecialists access to information, to results obtained inside specialized disciplines, as well as a certain understanding of these results; whereas a formalized epistemology should equip anyone with a framework for conceptualizing himself in whatever domain and direction he or she might choose. A formalized epistemology should not be mistaken either for an approach belonging to the modern cognitive sciences.

The Ethics of Geometry

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Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Ethics of Geometry by : David Rapport Lachterman

Download or read book The Ethics of Geometry written by David Rapport Lachterman and published by . This book was released on 1989 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a wide-ranging study of the relationship between philosophy and mathematics, Lachterman discussing the importance of construction from Euclid to Kant and his successors.

Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach

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Publisher :
ISBN 13 : 9782856292181
Total Pages : 0 pages
Book Rating : 4.2/5 (921 download)

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Book Synopsis Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach by : Bernard Helffer

Download or read book Quantitative Analysis of Metastability in Reversible Diffusion Processes Via a Witten Complex Approach written by Bernard Helffer and published by . This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This article is a continuation of previous works by Bovier-Eckhoff-Gayrard-Klein, Bovier-Gayrard-Klein and Helffer-Klein-Nier. The main object is the analysis of the small eigenvalues (as $h \mapsto 0$) of the Laplacian attached to the quadratic form $C_0^\infty (\Omega )\ni v \mapsto h^2 \int _{\Omega}\left \nabla v (x)\right ^2 e^{-2f(x)/h} dx$, where $\Omega $ is a bounded connected open set with $C^\infty $-boundary and $f$ is a Morse function on $M=\overline {\Omega }$. The previous works were devoted to the case of a manifold $M$ which is compact but without boundary or $\mathbb{R}^n$. The authors' aim here is to analyze the case with boundary. After the introduction of a Witten cohomology complex adapted to the case with boundary, they give a very accurate asymptotics for the exponentially small eigenvalues. In particular, they analyze the effect of the boundary in the asymptotics.