Download or read book Bifurcations dans les syst mes r versibles de dimension infinie en pr sence d un spectre essentiel written by Matthieu Barrandon and published by . This book was released on 2004 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: On étudie les bifurcations d’une classe de systèmes dynamiques réversibles de dimension infinie possédant une famille de solutions stationnaires près de l’origine. On suppose que l’opérateur linéarisé à l’origine Lε a un spectre essentiel sur l’axe réel et une valeur propre simple en 0. La bifurcation étudiée vient du fait que Lε possède une paire de valeurs propres simples imaginaires pour ε > 0. On donne les hypothèses sur Lε et sur le terme non linéaire qui précisent cette situation. Avec ces hypothèses, on montre l’existence d’une famille de solutions homoclines aux solutions d’équilibre près de l’origine. Ces solutions homoclines sont symétriques et leur décroissance à l’infini est algébrique. Elles sont approchées à l’ordre principal par l’onde solitaire de Benjamin-Ono. On montre également l’existence d’une famille à deux paramètres de solutions périodiques qui sont solutions à l’ordre principal de l’équation de Benjamin-Ono pour les fonctions périodiques. Ces résultats s’appliquent en théorie des vagues pour la recherche d’ondes progressives dans deux couches superposées de fluides parfaits, la couche inférieur étant de profondeur infinie, la couche supérieure étant bornée par une surface rigide ou ayant une surface libre avec une grande tension de surface. On obtient ainsi une famille d’ondes solitaires ainsi qu’une famille à deux paramètres de vagues périodiques.
Download or read book BIFURCATION D ORBITES HOMOCLINES POUR CERTAINS SYSTEMES REVERSIBLES APPLICATIONS AU PROBLEME DES VAGUES written by Eric Lombardi and published by . This book was released on 1996 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON ETUDIE LA CLASSE DES CHAMPS DE VECTEURS REVERSIBLES, EN DIMENSION FINIE OU NON, DONT LE SPECTRE DE LA DIFFERENTIELLE PRESENTE AU VOISINAGE DE L'AXE IMAGINAIRE LA BIFURCATION SUIVANTE: SUPERPOSITION D'UNE DYNAMIQUE OSCILLANTE INDUITE PAR UNE PAIRE DE VALEURS PROPRES IMAGINAIRES PURES D'ORDRE 1, SIMPLES ET OPPOSEES, ET D'UNE DYNAMIQUE LENTE INDUITE PAR UNE PAIRE DE VALEURS PROPRES PASSANT DU CAS HYPERBOLIQUE (+R ET -R) AU CAS OSCILLANT (+IR ET -IR) OU R EST LA RACINE CARREE DU MODULE DU PARAMETRE DE BIFURCATION. UN TEL CHAMP DE VECTEURS EN DIMENSION INFINIE REGIT LES ONDES NON LINEAIRES A LA SURFACE LIBRE D'UN FLUIDE PARFAIT EN PRESENCE DE GRAVITE ET DE TENSION SUPERFICIELLE. POUR LES CHAMPS INFINIMENT DERIVABLES, ON PROUVE D'UNE PART L'EXISTENCE, POUR CHAQUE VALEUR DU PARAMETRE DE BIFURCATION, DE SOLUTIONS PERIODIQUES ARBITRAIREMENT PETITES JUSQU'A 0 ET D'AUTRE PART L'EXISTENCE DE SOLUTIONS REVERSIBLES HOMOCLINES A DES ORBITES PERIODIQUES D'AMPLITUDE POLYNOMIALEMENT PETITE PAR RAPPORT A R. POUR LES CHAMPS ANALYTIQUES, ON MONTRE L'EXISTENCE DE SOLUTIONS REVERSIBLES HOMOCLINES A DES ORBITES PERIODIQUES EXPONENTIELLEMENT PETITES (D'ORDRE EXP(-C/R)). ON NE PEUT SE RAMENER DANS CE CAS A LA DIMENSION 4 VIA LE THEOREME DE LA VARIETE CENTRALE, CAR LA DEMONSTRATION S'APPUIE SUR LA CONSTRUCTION DE PROLONGEMENTS HOMOLORPHES DES SOLUTIONS POUR OBTENIR DES MAJORATIONS EXPONENTIELLEMENT PETITES D'INTEGRALES OSCILLANTES. ENFIN, ON DEMONTRE QU'EN DIMENSION 4, LES PETITES PERTURBATIONS DE LA FORME NORMALE A L'ORDRE 2 SONT EN GENERAL SINGULIERES: LE SYSTEME PERTURBE, A L'INVERSE DE LA FORME NORMALE N'ADMET PAS DE SOLUTIONS REVERSIBLES HOMOCLINES A 0
Download or read book Corpus written by Jean-Luc Nancy and published by Fordham Univ Press. This book was released on 2009-08-25 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: How have we thought “the body”? How can we think it anew? The body of mortal creatures, the body politic, the body of letters and of laws, the “mystical body of Christ”—all these (and others) are incorporated in the word Corpus, the title and topic of Jean-Luc Nancy’s masterwork. Corpus is a work of literary force at once phenomenological, sociological, theological, and philosophical in its multiple orientations and approaches. In thirty-six brief sections, Nancy offers us at once an encyclopedia and a polemical program—reviewing classical takes on the “corpus” from Plato, Aristotle, and Saint Paul to Descartes, Hegel, Husserl, and Freud, while demonstrating that the mutations (technological, biological, and political) of our own culture have given rise to the need for a new understanding of the body. He not only tells the story of this cultural change but also explores the promise and responsibilities that such a new understanding entails. The long-awaited English translation is a bold, bravura rendering. To the title essay are added five closely related recent pieces—including a commentary by Antonia Birnbaum—dedicated in large part to the legacy of the “mind-body problem” formulated by Descartes and the challenge it poses to rethinking the ancient problems of the corpus. The last and most poignant of these essays is “The Intruder,” Nancy’s philosophical meditation on his heart transplant. The book also serves as the opening move in Nancy’s larger project called “The deconstruction of Christianity.”
Download or read book Hermes literature Science Philosophy written by Michel Serres and published by . This book was released on 1982 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Complexity Theory and the Philosophy of Education written by Mark Mason and published by John Wiley & Sons. This book was released on 2009-02-23 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of scholarly essays, Complexity Theory and thePhilosophy of Education provides an accessible theoreticalintroduction to the topic of complexity theory while consideringits broader implications for educational change. Explains the contributions of complexity theory to philosophyof education, curriculum, and educational research Brings together new research by an international team ofcontributors Debates issues ranging from the culture of curriculum, to theimplications of work of key philosophers such as Foucault and JohnDewey for educational change Demonstrates how social scientists and social and educationpolicy makers are drawing on complexity theory to answer questionssuch as: why is it that education decision-makers are so resistantto change; how does change in education happen; and what does ittake to make these changes sustainable? Considers changes in use of complexity theory; developedprincipally in the fields of physics, biology, chemistry, andeconomics, and now being applied more broadly to the socialsciences and to the study of education
Download or read book Handbook for Integrating Risk Analysis in the Economic Analysis of Projects written by Asian Development Bank and published by . This book was released on 2002 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aiming to support the development of a framework for the analysis of risk in project design and economic analysis, this handbook outlines technical approaches to modeling risk. Also summarized is the nature and practice of sensitivity analysis in dealing with uncertain outcomes as well as the principles to consider in typical risk analysis situations sector by sector. Case studies are included to demonstrate the application of quantitative risk analysis using actual Asian Development Bank projects to help improve project design and quality. Handbook users will learn to identify factors that are the key determinants of project outcomes, determine the likelihood of an individual project's returns being unacceptable, and design measures to mitigate the risks arising from the identified key factors.
Download or read book The Semicircle Law Free Random Variables and Entropy written by Fumio Hiai and published by American Mathematical Soc.. This book was released on 2000 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book treats free probability theory, which has been extensively developed since the early 1980s. The emphasis is put on entropy and the random matrix model approach. The volume is a unique presentation demonstrating the extensive interrelation between the topics. Wigner's theorem and its broad generalizations, such as asymptotic freeness of independent matrices, are explained in detail. Consistent throughout the book is the parallelism between the normal and semicircle laws. Voiculescu's multivariate free entropy theory is presented with full proofs and extends the results to unitary operators. Some applications to operator algebras are also given. Based on lectures given by the authors in Hungary, Japan, and Italy, the book is a good reference for mathematicians interested in free probability theory and can serve as a text for an advanced graduate course. This book brings together both new material and recent surveys on some topics in differential equations that are either directly relevant to, or closely associated with, mathematical physics. Its topics include asymptotic formulas for the ground-state energy of fermionic gas, renormalization ideas in quantum field theory from perturbations of the free Hamiltonian on the circle, $J$-selfadjoint Dirac operators, spectral theory of Schrodinger operators, inverse problems, isoperimetric inequalities in quantum mechanics, Hardy inequalities, and non-adiabatic transitions. Excellent survey articles on Dirichlet-Neumann inverse problems on manifolds (by Uhlmann), numerical investigations associated with Laplacian eigenvalues on planar regions (by Trefethen), Snell's law and propagation of singularities in the wave equation (by Vasy), random operators on tree graphs (by Aizenmann) make this book interesting and valuable for graduate students, young mathematicians, and physicists alike.
Download or read book Stochastic Dynamics Out of Equilibrium written by Giambattista Giacomin and published by Springer. This book was released on 2019-06-30 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stemming from the IHP trimester "Stochastic Dynamics Out of Equilibrium", this collection of contributions focuses on aspects of nonequilibrium dynamics and its ongoing developments. It is common practice in statistical mechanics to use models of large interacting assemblies governed by stochastic dynamics. In this context "equilibrium" is understood as stochastically (time) reversible dynamics with respect to a prescribed Gibbs measure. Nonequilibrium dynamics correspond on the other hand to irreversible evolutions, where fluxes appear in physical systems, and steady-state measures are unknown. The trimester, held at the Institut Henri Poincaré (IHP) in Paris from April to July 2017, comprised various events relating to three domains (i) transport in non-equilibrium statistical mechanics; (ii) the design of more efficient simulation methods; (iii) life sciences. It brought together physicists, mathematicians from many domains, computer scientists, as well as researchers working at the interface between biology, physics and mathematics. The present volume is indispensable reading for researchers and Ph.D. students working in such areas.
Download or read book Random Matrix Theory written by Percy Deift and published by American Mathematical Soc.. This book was released on 2009-01-01 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book features a unified derivation of the mathematical theory of the three classical types of invariant random matrix ensembles-orthogonal, unitary, and symplectic. The authors follow the approach of Tracy and Widom, but the exposition here contains a substantial amount of additional material, in particular, facts from functional analysis and the theory of Pfaffians. The main result in the book is a proof of universality for orthogonal and symplectic ensembles corresponding to generalized Gaussian type weights following the authors' prior work. New, quantitative error estimates are derived." --Book Jacket.
Download or read book Creating Futures written by Michel Godet and published by . This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Level Sets and Extrema of Random Processes and Fields written by Jean-Marc Azais and published by John Wiley & Sons. This book was released on 2009-02-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: A timely and comprehensive treatment of random field theory with applications across diverse areas of study Level Sets and Extrema of Random Processes and Fields discusses how to understand the properties of the level sets of paths as well as how to compute the probability distribution of its extremal values, which are two general classes of problems that arise in the study of random processes and fields and in related applications. This book provides a unified and accessible approach to these two topics and their relationship to classical theory and Gaussian processes and fields, and the most modern research findings are also discussed. The authors begin with an introduction to the basic concepts of stochastic processes, including a modern review of Gaussian fields and their classical inequalities. Subsequent chapters are devoted to Rice formulas, regularity properties, and recent results on the tails of the distribution of the maximum. Finally, applications of random fields to various areas of mathematics are provided, specifically to systems of random equations and condition numbers of random matrices. Throughout the book, applications are illustrated from various areas of study such as statistics, genomics, and oceanography while other results are relevant to econometrics, engineering, and mathematical physics. The presented material is reinforced by end-of-chapter exercises that range in varying degrees of difficulty. Most fundamental topics are addressed in the book, and an extensive, up-to-date bibliography directs readers to existing literature for further study. Level Sets and Extrema of Random Processes and Fields is an excellent book for courses on probability theory, spatial statistics, Gaussian fields, and probabilistic methods in real computation at the upper-undergraduate and graduate levels. It is also a valuable reference for professionals in mathematics and applied fields such as statistics, engineering, econometrics, mathematical physics, and biology.
Download or read book The Hilbert Transform of Schwartz Distributions and Applications written by J. N. Pandey and published by John Wiley & Sons. This book was released on 2011-10-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a modern and up-to-date treatment of the Hilberttransform of distributions and the space of periodic distributions.Taking a simple and effective approach to a complex subject, thisvolume is a first-rate textbook at the graduate level as well as anextremely useful reference for mathematicians, applied scientists,and engineers. The author, a leading authority in the field, shares with thereader many new results from his exhaustive research on the Hilberttransform of Schwartz distributions. He describes in detail how touse the Hilbert transform to solve theoretical and physicalproblems in a wide range of disciplines; these include aerofoilproblems, dispersion relations, high-energy physics, potentialtheory problems, and others. Innovative at every step, J. N. Pandey provides a new definitionfor the Hilbert transform of periodic functions, which isespecially useful for those working in the area of signalprocessing for computational purposes. This definition could alsoform the basis for a unified theory of the Hilbert transform ofperiodic, as well as nonperiodic, functions. The Hilbert transform and the approximate Hilbert transform ofperiodic functions are worked out in detail for the first time inbook form and can be used to solve Laplace's equation with periodicboundary conditions. Among the many theoretical results proved inthis book is a Paley-Wiener type theorem giving thecharacterization of functions and generalized functions whoseFourier transforms are supported in certain orthants of Rn. Placing a strong emphasis on easy application of theory andtechniques, the book generalizes the Hilbert problem in higherdimensions and solves it in function spaces as well as ingeneralized function spaces. It simplifies the one-dimensionaltransform of distributions; provides solutions to thedistributional Hilbert problems and singular integral equations;and covers the intrinsic definition of the testing function spacesand its topology. The book includes exercises and review material for all majortopics, and incorporates classical and distributional problems intothe main text. Thorough and accessible, it explores new ways to usethis important integral transform, and reinforces its value in bothmathematical research and applied science. The Hilbert transform made accessible with many new formulas anddefinitions Written by today's foremost expert on the Hilbert transform ofgeneralized functions, this combined text and reference covers theHilbert transform of distributions and the space of periodicdistributions. The author provides a consistently accessibletreatment of this advanced-level subject and teaches techniquesthat can be easily applied to theoretical and physical problemsencountered by mathematicians, applied scientists, and graduatestudents in mathematics and engineering. Introducing many new inversion formulas that have been developedand applied by the author and his research associates, the book: * Provides solutions to the distributional Hilbert problem andsingular integral equations * Focuses on the Hilbert transform of Schwartz distributions,giving intrinsic definitions of the space H(D) and its topology * Covers the Paley-Wiener theorem and provides many importanttheoretical results of importance to research mathematicians * Provides the characterization of functions and generalizedfunctions whose Fourier transforms are supported in certainorthants of Rn * Offers a new definition of the Hilbert transform of the periodicfunction that can be used for computational purposes in signalprocessing * Develops the theory of the Hilbert transform of periodicdistributions and the approximate Hilbert transform of periodicdistributions * Provides exercises at the end of each chapter--useful toprofessors in planning assignments, tests, and problems
Download or read book Stochastic Dynamics written by Hans Crauel and published by Springer Science & Business Media. This book was released on 2007-12-14 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the mathematical description of stochastic dynamics in discrete as well as in continuous time, this book investigates such dynamical phenomena as perturbations, bifurcations and chaos. It also introduces new ideas for the exploration of infinite dimensional systems, in particular stochastic partial differential equations. Example applications are presented from biology, chemistry and engineering, while describing numerical treatments of stochastic systems.
Download or read book Large Deviations written by Jean-Dominique Deuschel and published by American Mathematical Soc.. This book was released on 2001 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second printing of the book first published in 1988. The first four chapters of the volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).
Download or read book Indices and Interpolation written by Lech Maligranda and published by . This book was released on 1985 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Random Probability Measures on Polish Spaces written by Hans Crauel and published by CRC Press. This book was released on 2002-07-25 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the narrow topology on random probability measures on Polish spaces is investigated in a thorough and comprehensive way. As a special feature, no additional assumptions on the probability space in the background, such as completeness or a countable generated algebra, are made. One of the main results is a direct proof of the rando
