Stochastic Models Of Many Particle Systems And Their Time Evolution

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Interacting Particle Systems

Author : T.M. Liggett
Publisher : Springer Science & Business Media
ISBN 13 : 1461385423
Total Pages : 499 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Interacting Particle Systems by : T.M. Liggett

Download or read book Interacting Particle Systems written by T.M. Liggett and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: At what point in the development of a new field should a book be written about it? This question is seldom easy to answer. In the case of interacting particle systems, important progress continues to be made at a substantial pace. A number of problems which are nearly as old as the subject itself remain open, and new problem areas continue to arise and develop. Thus one might argue that the time is not yet ripe for a book on this subject. On the other hand, this field is now about fifteen years old. Many important of several basic models is problems have been solved and the analysis almost complete. The papers written on this subject number in the hundreds. It has become increasingly difficult for newcomers to master the proliferating literature, and for workers in allied areas to make effective use of it. Thus I have concluded that this is an appropriate time to pause and take stock of the progress made to date. It is my hope that this book will not only provide a useful account of much of this progress, but that it will also help stimulate the future vigorous development of this field.

Statistical Mechanics And The Physics Of Many-particle Model Systems

Author : Alexander Leonidovich Kuzemsky
Publisher : World Scientific
ISBN 13 : 981314565X
Total Pages : 1259 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Statistical Mechanics And The Physics Of Many-particle Model Systems by : Alexander Leonidovich Kuzemsky

Download or read book Statistical Mechanics And The Physics Of Many-particle Model Systems written by Alexander Leonidovich Kuzemsky and published by World Scientific. This book was released on 2017-02-24 with total page 1259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the study of the correlation effects in many-particle systems. It presents the advanced methods of quantum statistical mechanics (equilibrium and nonequilibrium), and shows their effectiveness and operational ability in applications to problems of quantum solid-state theory, quantum theory of magnetism and the kinetic theory. The book includes description of the fundamental concepts and techniques of analysis following the approach of N N Bogoliubov's school, including recent developments. It provides an overview that introduces the main notions of quantum many-particle physics with the emphasis on concepts and models.This book combines the features of textbook and research monograph. For many topics the aim is to start from the beginning and to guide the reader to the threshold of advanced researches. Many chapters include also additional information and discuss many complex research areas which are not often discussed in other places. The book is useful for established researchers to organize and present the advanced material disseminated in the literature. The book contains also an extensive bibliography.The book serves undergraduate, graduate and postgraduate students, as well as researchers who have had prior experience with the subject matter at a more elementary level or have used other many-particle techniques.

Stochastic Ordinary and Stochastic Partial Differential Equations

Author : Peter Kotelenez
Publisher : Springer Science & Business Media
ISBN 13 : 0387743170
Total Pages : 452 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Stochastic Ordinary and Stochastic Partial Differential Equations by : Peter Kotelenez

Download or read book Stochastic Ordinary and Stochastic Partial Differential Equations written by Peter Kotelenez and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Partial Differential Equations analyzes mathematical models of time-dependent physical phenomena on microscopic, macroscopic and mesoscopic levels. It provides a rigorous derivation of each level from the preceding one and examines the resulting mesoscopic equations in detail. Coverage first describes the transition from the microscopic equations to the mesoscopic equations. It then covers a general system for the positions of the large particles.

An Introduction to Stochastic Modeling

Author : Howard M. Taylor
Publisher : Academic Press
ISBN 13 : 1483269272
Total Pages : 410 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis An Introduction to Stochastic Modeling by : Howard M. Taylor

Download or read book An Introduction to Stochastic Modeling written by Howard M. Taylor and published by Academic Press. This book was released on 2014-05-10 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Stochastic Modeling provides information pertinent to the standard concepts and methods of stochastic modeling. This book presents the rich diversity of applications of stochastic processes in the sciences. Organized into nine chapters, this book begins with an overview of diverse types of stochastic models, which predicts a set of possible outcomes weighed by their likelihoods or probabilities. This text then provides exercises in the applications of simple stochastic analysis to appropriate problems. Other chapters consider the study of general functions of independent, identically distributed, nonnegative random variables representing the successive intervals between renewals. This book discusses as well the numerous examples of Markov branching processes that arise naturally in various scientific disciplines. The final chapter deals with queueing models, which aid the design process by predicting system performance. This book is a valuable resource for students of engineering and management science. Engineers will also find this book useful.

From Complex to Simple

Author : Dan A. Mazilu
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1643271202
Total Pages : 67 pages
Book Rating : 4.6/5 (432 download)

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Book Synopsis From Complex to Simple by : Dan A. Mazilu

Download or read book From Complex to Simple written by Dan A. Mazilu and published by Morgan & Claypool Publishers. This book was released on 2018-08-24 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents simple interdisciplinary stochastic models meant as a gentle introduction to the field of non-equilibrium statistical physics. It focuses on the analysis of two-state models with cooperative effects, which are versatile enough to be applied to many physical and social systems. The book also explores a variety of mathematical techniques to solve the master equations that govern these models: matrix theory, empty-interval methods, mean field theory, a quantum approach, and mapping onto classical Ising models. The models discussed are at the confluence of nanophysics, biology, mathematics, and the social sciences and provide a pedagogical path toward understanding the complex dynamics of particle self-assembly with the tools of statistical physics.

Continuous Time Markov Processes

Author : Thomas Milton Liggett
Publisher : American Mathematical Soc.
ISBN 13 : 0821849492
Total Pages : 290 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Continuous Time Markov Processes by : Thomas Milton Liggett

Download or read book Continuous Time Markov Processes written by Thomas Milton Liggett and published by American Mathematical Soc.. This book was released on 2010 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov processes are among the most important stochastic processes for both theory and applications. This book develops the general theory of these processes, and applies this theory to various special examples.

Active Particles, Volume 1

Author : Nicola Bellomo
Publisher : Birkhäuser
ISBN 13 : 3319499963
Total Pages : 410 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Active Particles, Volume 1 by : Nicola Bellomo

Download or read book Active Particles, Volume 1 written by Nicola Bellomo and published by Birkhäuser. This book was released on 2017-04-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; and stochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.

Mean Field Simulation for Monte Carlo Integration

Author : Pierre Del Moral
Publisher : CRC Press
ISBN 13 : 1466504056
Total Pages : 628 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Mean Field Simulation for Monte Carlo Integration by : Pierre Del Moral

Download or read book Mean Field Simulation for Monte Carlo Integration written by Pierre Del Moral and published by CRC Press. This book was released on 2013-05-20 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last three decades, there has been a dramatic increase in the use of interacting particle methods as a powerful tool in real-world applications of Monte Carlo simulation in computational physics, population biology, computer sciences, and statistical machine learning. Ideally suited to parallel and distributed computation, these advanced particle algorithms include nonlinear interacting jump diffusions; quantum, diffusion, and resampled Monte Carlo methods; Feynman-Kac particle models; genetic and evolutionary algorithms; sequential Monte Carlo methods; adaptive and interacting Markov chain Monte Carlo models; bootstrapping methods; ensemble Kalman filters; and interacting particle filters. Mean Field Simulation for Monte Carlo Integration presents the first comprehensive and modern mathematical treatment of mean field particle simulation models and interdisciplinary research topics, including interacting jumps and McKean-Vlasov processes, sequential Monte Carlo methodologies, genetic particle algorithms, genealogical tree-based algorithms, and quantum and diffusion Monte Carlo methods. Along with covering refined convergence analysis on nonlinear Markov chain models, the author discusses applications related to parameter estimation in hidden Markov chain models, stochastic optimization, nonlinear filtering and multiple target tracking, stochastic optimization, calibration and uncertainty propagations in numerical codes, rare event simulation, financial mathematics, and free energy and quasi-invariant measures arising in computational physics and population biology. This book shows how mean field particle simulation has revolutionized the field of Monte Carlo integration and stochastic algorithms. It will help theoretical probability researchers, applied statisticians, biologists, statistical physicists, and computer scientists work better across their own disciplinary boundaries.

Stochastic Transport in Complex Systems

Author : Andreas Schadschneider
Publisher : Elsevier
ISBN 13 : 0080560520
Total Pages : 585 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Stochastic Transport in Complex Systems by : Andreas Schadschneider

Download or read book Stochastic Transport in Complex Systems written by Andreas Schadschneider and published by Elsevier. This book was released on 2010-10-01 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of the book provides a pedagogical introduction to the physics of complex systems driven far from equilibrium. In this part we discuss the basic concepts and theoretical techniques which are commonly used to study classical stochastic transport in systems of interacting driven particles. The analytical techniques include mean-field theories, matrix product ansatz, renormalization group, etc. and the numerical methods are mostly based on computer simulations. In the second part of the book these concepts and techniques are applied not only to vehicular traffic but also to transport and traffic-like phenomena in living systems ranging from collective movements of social insects (for example, ants) on trails to intracellular molecular motor transport. These demonstrate the conceptual unity of the fundamental principles underlying the apparent diversity of the systems and the utility of the theoretical toolbox of non-equilibrium statistical mechanics in interdisciplinary research far beyond the traditional disciplinary boundaries of physics. - Leading industry experts provide a broad overview of the interdisciplinary nature of physics - Presents unified descriptions of intracellular, ant, and vehicular traffic from a physics point of view - Applies theoretical methods in practical everyday situations - Reference and guide for physicists, engineers and graduate students

Stochastic Processes -

Author : Don Kulasiri
Publisher : BoD – Books on Demand
ISBN 13 : 1837695504
Total Pages : 136 pages
Book Rating : 4.8/5 (376 download)

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Book Synopsis Stochastic Processes - by : Don Kulasiri

Download or read book Stochastic Processes - written by Don Kulasiri and published by BoD – Books on Demand. This book was released on 2024-07-31 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Models

Author : Donald Andrew Dawson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821810637
Total Pages : 492 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Stochastic Models by : Donald Andrew Dawson

Download or read book Stochastic Models written by Donald Andrew Dawson and published by American Mathematical Soc.. This book was released on 2000 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the refereed proceedings of the International Conference on Stochastic Models held in Ottawa (ON, Canada) in honor of Professor Donald A. Dawson. Contributions to the volume were written by students and colleagues of Professor Dawson, many of whom are eminent researchers in their own right. A main theme of the book is the development and study of the Dawson-Watanabe "superprocess", a fundamental building block in modelling interaction particle systems undergoing reproduction and movement. The volume also contains an excellent review article by Professor Dawson and a complete list of his work. This comprehensive work offers a wide assortment of articles on Markov processes, branching processes, mathematical finance, filtering, queueing networks, time series, and statistics. It should be of interest to a broad mathematical audience.

Applied Stochastic Differential Equations

Author : Simo Särkkä
Publisher : Cambridge University Press
ISBN 13 : 1316510085
Total Pages : 327 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Applied Stochastic Differential Equations by : Simo Särkkä

Download or read book Applied Stochastic Differential Equations written by Simo Särkkä and published by Cambridge University Press. This book was released on 2019-05-02 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Author : Giovanni Naldi
Publisher : Springer Science & Business Media
ISBN 13 : 0817649468
Total Pages : 437 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences by : Giovanni Naldi

Download or read book Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences written by Giovanni Naldi and published by Springer Science & Business Media. This book was released on 2010-08-12 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Stochastic Models of Structural Plasma Turbulence

Author : Victor Yu Korolev
Publisher : Walter de Gruyter
ISBN 13 : 9789067644495
Total Pages : 424 pages
Book Rating : 4.6/5 (444 download)

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Book Synopsis Stochastic Models of Structural Plasma Turbulence by : Victor Yu Korolev

Download or read book Stochastic Models of Structural Plasma Turbulence written by Victor Yu Korolev and published by Walter de Gruyter. This book was released on 2006 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of high-level monographs and surveys which cover the whole spectrum of probability and statistics. The books of the series are addressed to both experts and advanced students.

Feynman-Kac Formulae

Author : Pierre Del Moral
Publisher : Springer Science & Business Media
ISBN 13 : 9780387202686
Total Pages : 584 pages
Book Rating : 4.2/5 (26 download)

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Book Synopsis Feynman-Kac Formulae by : Pierre Del Moral

Download or read book Feynman-Kac Formulae written by Pierre Del Moral and published by Springer Science & Business Media. This book was released on 2004-03-30 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text takes readers in a clear and progressive format from simple to recent and advanced topics in pure and applied probability such as contraction and annealed properties of non-linear semi-groups, functional entropy inequalities, empirical process convergence, increasing propagations of chaos, central limit, and Berry Esseen type theorems as well as large deviation principles for strong topologies on path-distribution spaces. Topics also include a body of powerful branching and interacting particle methods.

Stochastic Reactive Distributed Robotic Systems

Author : Gregory Mermoud
Publisher : Springer
ISBN 13 : 3319026097
Total Pages : 213 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Stochastic Reactive Distributed Robotic Systems by : Gregory Mermoud

Download or read book Stochastic Reactive Distributed Robotic Systems written by Gregory Mermoud and published by Springer. This book was released on 2013-10-01 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the development of novel model-based methodologies for engineering self-organized and self-assembled systems. The work bridges the gap between statistical mechanics and control theory by tackling a number of challenges for a class of distributed systems involving a specific type of constitutive components, namely referred to as Smart Minimal Particles. The results described in the volume are expected to lead to more robust, dependable, and inexpensive distributed systems such as those endowed with complex and advanced sensing, actuation, computation, and communication capabilities.

Stochastic Dynamics Out of Equilibrium

Author : Giambattista Giacomin
Publisher : Springer
ISBN 13 : 3030150968
Total Pages : 654 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Stochastic Dynamics Out of Equilibrium by : Giambattista Giacomin

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 654 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.