Stochastic Analysis And Mathematical Physics Samp Anestoc 2002

Author : Rolando Rebolledo,Jorge Rezende,Jean-Claude Zambrini
Publisher : World Scientific
Page : 312 pages
File Size : 55,5 Mb
Release : 2004-09-15
Category : Science
ISBN : 9789814481632

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Stochastic Analysis and Mathematical Physics by Rolando Rebolledo,Jorge Rezende,Jean-Claude Zambrini Pdf

The book collects a series of papers centered on two main streams: Feynman path integral approach to Quantum Mechanics and statistical mechanics of quantum open systems. Key authors discuss the state-of-the-art within their fields of expertise. In addition, the volume includes a number of contributed papers with new results, which have been thoroughly refereed. The contributions in this volume highlight emergent research in the area of stochastic analysis and mathematical physics, focusing, in particular on Feynman functional integral approach and, on the other hand, in quantum probability. The book is addressed to an audience of mathematical physicists, as well as specialists in probability theory, stochastic analysis and operator algebras. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents: Rigorous Feynman Path Integrals, with Applications to Quantum Theory, Gauge Fields, and Topological Invariants (S Albeverio et al.)Vassiliev Invariants and Functional Integration without Integration (L H Kauffman)Wiener Analysis and Cyclic Homology (R Léandre)On the Affine Metaplectic Group (O Rask)Open Quantum Systems and Classical Trajectories (R Rebolledo)Fourier-Feynman Transforms on Wiener Spaces (I Yoo et al.)On Quantum Stochastic Dynamics. Some Recent Developments (A W Majewski)Non Adapted Transformations of the Wiener Measure (A B Cruzeiro)and other papers Readership: Academic, specialists in mathematical physics and probability. Keywords:Feynmann Path Integrals;Open Quantum Systems;Quantum Markov Semigroups;Quantum Statistical Mechanics;Wiener Analysis;White Noise Analysis;Operator AlgebrasKey Features:Special survey papers in the area of Feynmann functional integrals. The material of these papers is hardly found in other books as presented herePapers containing a review on recent results on statistical mechanics of open quantum systemsOriginal papers in both, quantum probability as well as in functional path integral approach to quantum mechanics

Author : Richard Phillips Feynman
Publisher : World Scientific
Page : 313 pages
File Size : 55,5 Mb
Release : 2004
Category : Science
ISBN : 9789812560643

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Stochastic Analysis and Mathematical Physics (SAMP/ANESTOC 2002) by Richard Phillips Feynman Pdf

The book collects a series of papers centered on two main streams: Feynman path integral approach to Quantum Mechanics and statistical mechanics of quantum open systems. Key authors discuss the state-of-the-art within their fields of expertise. In addition, the volume includes a number of contributed papers with new results, which have been thoroughly refereed.The contributions in this volume highlight emergent research in the area of stochastic analysis and mathematical physics, focusing, in particular on Feynman functional integral approach and, on the other hand, in quantum probability. The book is addressed to an audience of mathematical physicists, as well as specialists in probability theory, stochastic analysis and operator algebras.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences

Author : Rolando Rebolledo
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 45,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213727

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Stochastic Analysis and Mathematical Physics by Rolando Rebolledo Pdf

The seminar on Stochastic Analysis and Mathematical Physics started in 1984 at the Catholic University of Chile in Santiago and has been an on going research activity. Since 1995, the group has organized international workshops as a way of promoting a broader dialogue among experts in the areas of classical and quantum stochastic analysis, mathematical physics and physics. This volume, consisting primarily of contributions to the Third Inter national Workshop on Stochastic Analysis and Mathematical Physics (in Spanish ANESTOC), held in Santiago, Chile, in October 1998, focuses on an analysis of quantum dynamics and related problems in probability the ory. Various articles investigate quantum dynamical semigroups and new results on q-deformed oscillator algebras, while others examine the appli cation of classical stochastic processes in quantum modeling. As in previous workshops, the topic of quantum flows and semigroups occupied an important place. In her paper, R. Carbone uses a spectral type analysis to obtain exponential rates of convergence towards the equilibrium of a quantum dynamical semigroup in the £2 sense. The method is illus trated with a quantum extension of a classical birth and death process. Quantum extensions of classical Markov processes lead to subtle problems of domains. This is in particular illustrated by F. Fagnola, who presents a pathological example of a semigroup for which the largest * -subalgebra (of the von Neumann algebra of bounded linear operators of £2 (lR+, IC)), con tained in the domain of its infinitesimal generator, is not a-weakly dense.

Author : Rolando Rebolledo
Publisher : Birkhäuser
Page : 172 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880183

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Stochastic Analysis and Mathematical Physics II by Rolando Rebolledo Pdf

The seminar on Stochastic Analysis and Mathematical Physics of the Ca tholic University of Chile, started in Santiago in 1984, has being followed and enlarged since 1995 by a series of international workshops aimed at pro moting a wide-spectrum dialogue between experts on the fields of classical and quantum stochastic analysis, mathematical physics, and physics. This volume collects most of the contributions to the Fourth Interna tional Workshop on Stochastic Analysis and Mathematical Physics (whose Spanish abbreviation is "ANESTOC"; in English, "STAMP"), held in San tiago, Chile, from January 5 to 11, 2000. The workshop style stimulated a vivid exchange of ideas which finally led to a number of written con tributions which I am glad to introduce here. However, we are currently submitted to a sort of invasion of proceedings books, and we do not want to increase our own shelves with a new one of the like. On the other hand, the editors of conference proceedings have to use different exhausting and com pulsive strategies to persuade authors to write and provide texts in time, a task which terrifies us. As a result, this volume is aimed at smoothly start ing a new kind of publication. What we would like to have is a collection of books organized like our seminar.

Author : Astrid Hilbert,Elisa Mastrogiacomo,Sonia Mazzucchi,Barbara Rüdiger,Stefania Ugolini
Publisher : Springer Nature
Page : 390 pages
File Size : 44,5 Mb
Release : 2023-04-02
Category : Mathematics
ISBN : 9783031140310

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Quantum and Stochastic Mathematical Physics by Astrid Hilbert,Elisa Mastrogiacomo,Sonia Mazzucchi,Barbara Rüdiger,Stefania Ugolini Pdf

Sergio Albeverio gave important contributions to many fields ranging from Physics to Mathematics, while creating new research areas from their interplay. Some of them are presented in this Volume that grew out of the Random Transformations and Invariance in Stochastic Dynamics Workshop held in Verona in 2019. To understand the theory of thermo- and fluid-dynamics, statistical mechanics, quantum mechanics and quantum field theory, Albeverio and his collaborators developed stochastic theories having strong interplays with operator theory and functional analysis. His contribution to the theory of (non Gaussian)-SPDEs, the related theory of (pseudo-)differential operators, and ergodic theory had several impacts to solve problems related, among other topics, to thermo- and fluid dynamics. His scientific works in the theory of interacting particles and its extension to configuration spaces lead, e.g., to the solution of open problems in statistical mechanics and quantum field theory. Together with Raphael Hoegh Krohn he introduced the theory of infinite dimensional Dirichlet forms, which nowadays is used in many different contexts, and new methods in the theory of Feynman path integration. He did not fear to further develop different methods in Mathematics, like, e.g., the theory of non-standard analysis and p-adic numbers.

Author : Jean-Michel Morel,Bernard Teissier
Publisher : Springer Nature
Page : 629 pages
File Size : 45,5 Mb
Release : 2023-06-14
Category : Mathematics
ISBN : 9783031122446

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Mathematics Going Forward by Jean-Michel Morel,Bernard Teissier Pdf

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

Author : Rolando Rebolledo
Publisher : World Scientific
Page : 222 pages
File Size : 47,7 Mb
Release : 1998-09-02
Category : Electronic
ISBN : 9789814544887

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Stochastic Analysis And Mathematical Physics (Anestoc '96) - Proceedings Of The 2nd International Workshop by Rolando Rebolledo Pdf

Author : Sonia Mazzucchi
Publisher : World Scientific
Page : 360 pages
File Size : 51,7 Mb
Release : 2021-11-16
Category : Science
ISBN : 9789811214806

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Mathematical Feynman Path Integrals And Their Applications (Second Edition) by Sonia Mazzucchi Pdf

Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics.This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added.This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.

Author : Sergio Albeverio,Ana Bela Cruzeiro,Darryl Holm
Publisher : Springer
Page : 265 pages
File Size : 43,7 Mb
Release : 2017-11-17
Category : Mathematics
ISBN : 9783319634531

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Stochastic Geometric Mechanics by Sergio Albeverio,Ana Bela Cruzeiro,Darryl Holm Pdf

Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled “Geometric mechanics – variational and stochastic methods” run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Fédérale de Lausanne. The aim of the semester was to develop a common language needed to handle the wide variety of problems and phenomena occurring in stochastic geometric mechanics. It gathered mathematicians and scientists from several different areas of mathematics (from analysis, probability, numerical analysis and statistics, to algebra, geometry, topology, representation theory, and dynamical systems theory) and also areas of mathematical physics, control theory, robotics, and the life sciences, with the aim of developing the new research area in a concentrated joint effort, both from the theoretical and applied points of view. The lectures were given by leading specialists in different areas of mathematics and its applications, building bridges among the various communities involved and working jointly on developing the envisaged new interdisciplinary subject of stochastic geometric mechanics.

Author : Sergio Albeverio,Rafael Høegh-Krohn,Sonia Mazzucchi
Publisher : Springer
Page : 182 pages
File Size : 46,6 Mb
Release : 2008-05-06
Category : Mathematics
ISBN : 9783540769569

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Mathematical Theory of Feynman Path Integrals by Sergio Albeverio,Rafael Høegh-Krohn,Sonia Mazzucchi Pdf

The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

Author : Gerald W. Johnson,Michel Laurent Lapidus,Lance Nielsen
Publisher : Oxford Mathematical Monographs
Page : 385 pages
File Size : 51,9 Mb
Release : 2015
Category : Mathematics
ISBN : 9780198702498

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Feynman's Operational Calculus and Beyond by Gerald W. Johnson,Michel Laurent Lapidus,Lance Nielsen Pdf

This title is aimed at providing a coherent, essentially self-contained, rigorous and comprehensive abstract theory of Feynman's operational calculus for functions of (typically) noncommuting operators. Although it is inspired by Feynman's original heuristic suggestions and time-ordering (or disentangling) rules in his seminal 1951 paper, as is made clear in the text, the theory developed in this book also goes well beyond them in a number of directions which were not anticipated in Feynman's work.

Author : Fred Espen Benth,Giulia Di Nunno,Tom Lindstrom,Bernt Øksendal,Tusheng Zhang
Publisher : Springer Science & Business Media
Page : 672 pages
File Size : 42,7 Mb
Release : 2007-04-24
Category : Mathematics
ISBN : 9783540708476

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Stochastic Analysis and Applications by Fred Espen Benth,Giulia Di Nunno,Tom Lindstrom,Bernt Øksendal,Tusheng Zhang Pdf

The Abel Symposium 2005 was organized as a tribute to the work of Kiyosi Ito on the occasion of his 90th birthday. Distinguished researchers from all over presented the newest developments within the exciting and fast growing field of stochastic analysis. This volume combines both papers from the invited speakers and contributions by the presenting lecturers. In addition, it includes the Memoirs that Kiyoshi Ito wrote for this occasion.

Author : Anonim
Publisher : Unknown
Page : 860 pages
File Size : 45,5 Mb
Release : 2006
Category : Mathematics
ISBN : UOM:39015067268279

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Mathematical Reviews by Anonim Pdf

Author : Rolando Rebolledo
Publisher : Birkhäuser
Page : 166 pages
File Size : 47,8 Mb
Release : 2000-05-30
Category : Mathematics
ISBN : 0817641858

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Stochastic Analysis and Mathematical Physics by Rolando Rebolledo Pdf

The seminar on Stochastic Analysis and Mathematical Physics started in 1984 at the Catholic University of Chile in Santiago and has been an on going research activity. Since 1995, the group has organized international workshops as a way of promoting a broader dialogue among experts in the areas of classical and quantum stochastic analysis, mathematical physics and physics. This volume, consisting primarily of contributions to the Third Inter national Workshop on Stochastic Analysis and Mathematical Physics (in Spanish ANESTOC), held in Santiago, Chile, in October 1998, focuses on an analysis of quantum dynamics and related problems in probability the ory. Various articles investigate quantum dynamical semigroups and new results on q-deformed oscillator algebras, while others examine the appli cation of classical stochastic processes in quantum modeling. As in previous workshops, the topic of quantum flows and semigroups occupied an important place. In her paper, R. Carbone uses a spectral type analysis to obtain exponential rates of convergence towards the equilibrium of a quantum dynamical semigroup in the £2 sense. The method is illus trated with a quantum extension of a classical birth and death process. Quantum extensions of classical Markov processes lead to subtle problems of domains. This is in particular illustrated by F. Fagnola, who presents a pathological example of a semigroup for which the largest * -subalgebra (of the von Neumann algebra of bounded linear operators of £2 (lR+, IC)), con tained in the domain of its infinitesimal generator, is not a-weakly dense.

Author : Robert C. Dalang,Marco Dozzi,Franco Flandoli,Francesco Russo
Publisher : Birkhäuser
Page : 393 pages
File Size : 47,5 Mb
Release : 2015-07-28
Category : Mathematics
ISBN : 9783034809092

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Stochastic Analysis: A Series of Lectures by Robert C. Dalang,Marco Dozzi,Franco Flandoli,Francesco Russo Pdf

This book presents in thirteen refereed survey articles an overview of modern activity in stochastic analysis, written by leading international experts. The topics addressed include stochastic fluid dynamics and regularization by noise of deterministic dynamical systems; stochastic partial differential equations driven by Gaussian or Lévy noise, including the relationship between parabolic equations and particle systems, and wave equations in a geometric framework; Malliavin calculus and applications to stochastic numerics; stochastic integration in Banach spaces; porous media-type equations; stochastic deformations of classical mechanics and Feynman integrals and stochastic differential equations with reflection. The articles are based on short courses given at the Centre Interfacultaire Bernoulli of the Ecole Polytechnique Fédérale de Lausanne, Switzerland, from January to June 2012. They offer a valuable resource not only for specialists, but also for other researchers and Ph.D. students in the fields of stochastic analysis and mathematical physics. Contributors: S. Albeverio M. Arnaudon V. Bally V. Barbu H. Bessaih Z. Brzeźniak K. Burdzy A.B. Cruzeiro F. Flandoli A. Kohatsu-Higa S. Mazzucchi C. Mueller J. van Neerven M. Ondreját S. Peszat M. Veraar L. Weis J.-C. Zambrini