Large Deviations And Metastability
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Large Deviations And Metastability
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Author : Enzo Olivieri
language : en
Publisher: Cambridge University Press
Release Date : 2005-02-21
Large Deviations And Metastability written by Enzo Olivieri and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-21 with Mathematics categories.
The book provides a general introduction to the theory of large deviations and a wide overview of the metastable behaviour of stochastic dynamics. With only minimal prerequisites, the book covers all the main results and brings the reader to the most recent developments. Particular emphasis is given to the fundamental Freidlin-Wentzell results on small random perturbations of dynamical systems. Metastability is first described on physical grounds, following which more rigorous approaches to its description are developed. Many relevant examples are considered from the point of view of the so-called pathwise approach. The first part of the book develops the relevant tools including the theory of large deviations which are then used to provide a physically relevant dynamical description of metastability. Written to be accessible to graduate students, this book provides an excellent route into contemporary research.
Large Deviations And Metastability
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Author : Maria Eulália Vares
language : en
Publisher:
Release Date : 1992
Large Deviations And Metastability written by Maria Eulália Vares and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Metastability
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Author : Anton Bovier
language : en
Publisher: Springer
Release Date : 2016-02-11
Metastability written by Anton Bovier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-11 with Mathematics categories.
This monograph provides a concise presentation of a mathematical approach to metastability, a wide-spread phenomenon in the dynamics of non-linear systems - physical, chemical, biological or economic - subject to the action of temporal random forces typically referred to as noise, based on potential theory of reversible Markov processes. The authors shed new light on the metastability phenomenon as a sequence of visits of the path of the process to different metastable sets, and focuses on the precise analysis of the respective hitting probabilities and hitting times of these sets. The theory is illustrated with many examples, ranging from finite-state Markov chains, finite-dimensional diffusions and stochastic partial differential equations, via mean-field dynamics with and without disorder, to stochastic spin-flip and particle-hop dynamics and probabilistic cellular automata, unveiling the common universal features of these systems with respect to their metastable behaviour. The monograph will serve both as comprehensive introduction and as reference for graduate students and researchers interested in metastability.
Random Perturbations Of Dynamical Systems
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Author : M. I. Freidlin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Random Perturbations Of Dynamical Systems written by M. I. Freidlin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Asymptotical problems have always played an important role in probability theory. In classical probability theory dealing mainly with sequences of independent variables, theorems of the type of laws of large numbers, theorems of the type of the central limit theorem, and theorems on large deviations constitute a major part of all investigations. In recent years, when random processes have become the main subject of study, asymptotic investigations have continued to playa major role. We can say that in the theory of random processes such investigations play an even greater role than in classical probability theory, because it is apparently impossible to obtain simple exact formulas in problems connected with large classes of random processes. Asymptotical investigations in the theory of random processes include results of the types of both the laws of large numbers and the central limit theorem and, in the past decade, theorems on large deviations. Of course, all these problems have acquired new aspects and new interpretations in the theory of random processes.
In And Out Of Equilibrium 3 Celebrating Vladas Sidoravicius
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Author : Maria Eulália Vares
language : en
Publisher: Springer Nature
Release Date : 2021-03-25
In And Out Of Equilibrium 3 Celebrating Vladas Sidoravicius written by Maria Eulália Vares and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-25 with Mathematics categories.
This is a volume in memory of Vladas Sidoravicius who passed away in 2019. Vladas has edited two volumes appeared in this series ("In and Out of Equilibrium") and is now honored by friends and colleagues with research papers reflecting Vladas' interests and contributions to probability theory.
Geometric And Probabilistic Structures In Dynamics
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Author : Keith Burns
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Geometric And Probabilistic Structures In Dynamics written by Keith Burns and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
"This book presents a collection of articles that cover areas of mathematics related to dynamical systems. The authors are well-known experts who use geometric and probabilistic methods to study interesting problems in the theory of dynamical systems and its applications. Some of the articles are surveys while others are original contributions. The topics covered include: Riemannian geometry, models in mathematical physics and mathematical biology, symbolic dynamics, random and stochastic dynamics. This book can be used by graduate students and researchers in dynamical systems and its applications."--BOOK JACKET.
Cellular Automata And Discrete Complex Systems
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Author : Matthew Cook
language : en
Publisher: Springer
Release Date : 2016-06-01
Cellular Automata And Discrete Complex Systems written by Matthew Cook and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-01 with Computers categories.
This volume constitutes the thoroughly refereed proceedings of the 22nd IFIP WG 1.5International Workshop on Cellular Automata and Discrete ComplexSystems, AUTOMATA 2016, held in Zurich, Switzerland, in June 2016. This volume contains 3 invited talks in full-paper length and 12 regularpapers, which were carefully reviewed and selected from a total of 23submissions. The papers feature research on all fundamental aspects of cellular automata and related discrete complex systems and deal with the following topics: dynamical, topological, ergodic and algebraic aspects; algorithmic and complexity issues; emergent properties; formal language processing; symbolic dynamics; models of parallelism and distributed systems; timing schemes; phenomenological descriptions; scientific modeling; and practical applications.
Large Deviations Free Energy Functional And Quasi Potential For A Mean Field Model Of Interacting Diffusions
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Author : Donald Andrew Dawson
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
Large Deviations Free Energy Functional And Quasi Potential For A Mean Field Model Of Interacting Diffusions written by Donald Andrew Dawson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
Large deviations for an exchangeable system of reversible diffusions in [double-struck]R[superscript italic]d are investigated in the limit when the number of particles tends to infinity with the objective of providing a methodology to study dynamical phase transitions, tunnelling and metastability for the class of mean field models in statistical physics.
Statistical Mechanics Of Lattice Systems
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Author : Sacha Friedli
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-23
Statistical Mechanics Of Lattice Systems written by Sacha Friedli and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-23 with Mathematics categories.
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Large Deviations In Physics
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Author : Angelo Vulpiani
language : en
Publisher: Springer
Release Date : 2014-05-16
Large Deviations In Physics written by Angelo Vulpiani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-16 with Science categories.
This book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity. Applications of Large Deviations and their outcomes to Physics are surveyed. The book covers topics encompassing ergodicity and its breaking and the modern applications of Large deviations to equilibrium and non-equilibrium statistical physics, disordered and chaotic systems, and turbulence.