Probability And Analysis In Interacting Physical Systems

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Probability and Analysis in Interacting Physical Systems

Author : Peter Friz
Publisher : Springer
ISBN 13 : 303015338X
Total Pages : 294 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Probability and Analysis in Interacting Physical Systems by : Peter Friz

Download or read book Probability and Analysis in Interacting Physical Systems written by Peter Friz and published by Springer. This book was released on 2019-05-24 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift on the occasion of the 75th birthday of S.R.S. Varadhan, one of the most influential researchers in probability of the last fifty years, grew out of a workshop held at the Technical University of Berlin, 15–19 August, 2016. This volume contains ten research articles authored by several of Varadhan's former PhD students or close collaborators. The topics of the contributions are more or less closely linked with some of Varadhan's deepest interests over the decades: large deviations, Markov processes, interacting particle systems, motions in random media and homogenization, reaction-diffusion equations, and directed last-passage percolation. The articles present original research on some of the most discussed current questions at the boundary between analysis and probability, with an impact on understanding phenomena in physics. This collection will be of great value to researchers with an interest in models of probability-based statistical mechanics.

Probability in Complex Physical Systems

Author : Jean-Dominique Deuschel
Publisher : Springer Science & Business Media
ISBN 13 : 3642238114
Total Pages : 518 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Probability in Complex Physical Systems by : Jean-Dominique Deuschel

Download or read book Probability in Complex Physical Systems written by Jean-Dominique Deuschel and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probabilistic approaches have played a prominent role in the study of complex physical systems for more than thirty years. This volume collects twenty articles on various topics in this field, including self-interacting random walks and polymer models in random and non-random environments, branching processes, Parisi formulas and metastability in spin glasses, and hydrodynamic limits for gradient Gibbs models. The majority of these articles contain original results at the forefront of contemporary research; some of them include review aspects and summarize the state-of-the-art on topical issues – one focal point is the parabolic Anderson model, which is considered with various novel aspects including moving catalysts, acceleration and deceleration and fron propagation, for both time-dependent and time-independent potentials. The authors are among the world’s leading experts. This Festschrift honours two eminent researchers, Erwin Bolthausen and Jürgen Gärtner, whose scientific work has profoundly influenced the field and all of the present contributions.

Sojourns in Probability Theory and Statistical Physics - III

Author : Vladas Sidoravicius
Publisher : Springer Nature
ISBN 13 : 9811503028
Total Pages : 341 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Sojourns in Probability Theory and Statistical Physics - III by : Vladas Sidoravicius

Download or read book Sojourns in Probability Theory and Statistical Physics - III written by Vladas Sidoravicius and published by Springer Nature. This book was released on 2019-10-17 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics.

Probability and Phase Transition

Author : G.R. Grimmett
Publisher : Springer Science & Business Media
ISBN 13 : 9401583269
Total Pages : 334 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Probability and Phase Transition by : G.R. Grimmett

Download or read book Probability and Phase Transition written by G.R. Grimmett and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the current state of knowledge of random spatial processes, particularly those arising in physics. The emphasis is on survey articles which describe areas of current interest to probabilists and physicists working on the probability theory of phase transition. Special attention is given to topics deserving further research. The principal contributions by leading researchers concern the mathematical theory of random walk, interacting particle systems, percolation, Ising and Potts models, spin glasses, cellular automata, quantum spin systems, and metastability. The level of presentation and review is particularly suitable for postgraduate and postdoctoral workers in mathematics and physics, and for advanced specialists in the probability theory of spatial disorder and phase transition.

Geometry and Invariance in Stochastic Dynamics

Author : Stefania Ugolini
Publisher : Springer Nature
ISBN 13 : 303087432X
Total Pages : 273 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Geometry and Invariance in Stochastic Dynamics by : Stefania Ugolini

Download or read book Geometry and Invariance in Stochastic Dynamics written by Stefania Ugolini and published by Springer Nature. This book was released on 2022-02-09 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of the Random Transformations and Invariance in Stochastic Dynamics conference held in Verona from the 25th to the 28th of March 2019 in honour of Sergio Albeverio. It presents the new area of studies concerning invariance and symmetry properties of finite and infinite dimensional stochastic differential equations.This area constitutes a natural, much needed, extension of the theory of classical ordinary and partial differential equations, where the reduction theory based on symmetry and invariance of such classical equations has historically proved to be very important both for theoretical and numerical studies and has given rise to important applications. The purpose of the present book is to present the state of the art of the studies on stochastic systems from this point of view, present some of the underlying fundamental ideas and methods involved, and to outline the main lines for future developments. The main focus is on bridging the gap between deterministic and stochastic approaches, with the goal of contributing to the elaboration of a unified theory that will have a great impact both from the theoretical point of view and the point of view of applications. The reader is a mathematician or a theoretical physicist. The main discipline is stochastic analysis with profound ideas coming from Mathematical Physics and Lie’s Group Geometry. While the audience consists essentially of academicians, the reader can also be a practitioner with Ph.D., who is interested in efficient stochastic modelling.

Multi-scale Analysis for Random Quantum Systems with Interaction

Author : Victor Chulaevsky
Publisher : Birkhäuser
ISBN 13 : 9781461482277
Total Pages : 238 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Multi-scale Analysis for Random Quantum Systems with Interaction by : Victor Chulaevsky

Download or read book Multi-scale Analysis for Random Quantum Systems with Interaction written by Victor Chulaevsky and published by Birkhäuser. This book was released on 2013-09-20 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction presents the progress that had been recently achieved in this area. The main focus of the book is on a rigorous derivation of the multi-particle localization in a strong random external potential field. To make the presentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd. This book includes the following cutting-edge features: an introduction to the state-of-the-art single-particle localization theory an extensive discussion of relevant technical aspects of the localization theory a thorough comparison of the multi-particle model with its single-particle counterpart a self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model. Required mathematical background for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probability theory. This is an excellent text for a year-long graduate course or seminar in mathematical physics. It also can serve as a standard reference for specialists.

The Concept of Probability in Statistical Physics

Author : Y. M. Guttmann
Publisher : Cambridge University Press
ISBN 13 : 0521621283
Total Pages : 283 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis The Concept of Probability in Statistical Physics by : Y. M. Guttmann

Download or read book The Concept of Probability in Statistical Physics written by Y. M. Guttmann and published by Cambridge University Press. This book was released on 1999-07-13 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.

Stochastic Analysis and Mathematical Physics

Author : A.B. Cruzeiro
Publisher : Springer Science & Business Media
ISBN 13 : 1461201276
Total Pages : 162 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Stochastic Analysis and Mathematical Physics by : A.B. Cruzeiro

Download or read book Stochastic Analysis and Mathematical Physics written by A.B. Cruzeiro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the outgrowth of an ongoing workshop on stochastic analysis held in Lisbon. The nine survey articles in the volume extend concepts from classical probability and stochastic processes to a number of areas of mathematical physics. It is a good reference text for researchers and advanced students in the fields of probability, stochastic processes, analysis, geometry, mathematical physics, and physics. Key topics covered include: nonlinear stochastic wave equations, completely positive maps, Mehler-type semigroups on Hilbert spaces, entropic projections, and many others.

Fourier Analysis in Probability Theory

Author : Tatsuo Kawata
Publisher : Academic Press
ISBN 13 : 148321852X
Total Pages : 681 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Fourier Analysis in Probability Theory by : Tatsuo Kawata

Download or read book Fourier Analysis in Probability Theory written by Tatsuo Kawata and published by Academic Press. This book was released on 2014-06-17 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Analysis in Probability Theory provides useful results from the theories of Fourier series, Fourier transforms, Laplace transforms, and other related studies. This 14-chapter work highlights the clarification of the interactions and analogies among these theories. Chapters 1 to 8 present the elements of classical Fourier analysis, in the context of their applications to probability theory. Chapters 9 to 14 are devoted to basic results from the theory of characteristic functions of probability distributors, the convergence of distribution functions in terms of characteristic functions, and series of independent random variables. This book will be of value to mathematicians, engineers, teachers, and students.

Interacting Stochastic Systems

Author : Jean-Dominique Deuschel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540230335
Total Pages : 470 pages
Book Rating : 4.2/5 (33 download)

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Book Synopsis Interacting Stochastic Systems by : Jean-Dominique Deuschel

Download or read book Interacting Stochastic Systems written by Jean-Dominique Deuschel and published by Springer Science & Business Media. This book was released on 2005-01-12 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Research Network on "Interacting stochastic systems of high complexity" set up by the German Research Foundation aimed at exploring and developing connections between research in infinite-dimensional stochastic analysis, statistical physics, spatial population models from mathematical biology, complex models of financial markets or of stochastic models interacting with other sciences. This book presents a structured collection of papers on the core topics, written at the close of the 6-year programme by the research groups who took part in it. The structure chosen highlights the interweaving of certain themes and certain interconnections discovered through the joint work. This yields a reference work on results and methods that will be useful to all who work between applied probability and the physical, economic, and life sciences.

Mathematical Analysis of Physical Systems

Author : Ronald E. Mickens
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Analysis of Physical Systems by : Ronald E. Mickens

Download or read book Mathematical Analysis of Physical Systems written by Ronald E. Mickens and published by . This book was released on 1985 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selecta

Author : Yakov G. Sinai
Publisher :
ISBN 13 : 9781441962065
Total Pages : 538 pages
Book Rating : 4.9/5 (62 download)

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Book Synopsis Selecta by : Yakov G. Sinai

Download or read book Selecta written by Yakov G. Sinai and published by . This book was released on 2011-03-30 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability and Stochastic Processes for Physicists

Author : Nicola Cufaro Petroni
Publisher : Springer Nature
ISBN 13 : 3030484084
Total Pages : 372 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Probability and Stochastic Processes for Physicists by : Nicola Cufaro Petroni

Download or read book Probability and Stochastic Processes for Physicists written by Nicola Cufaro Petroni and published by Springer Nature. This book was released on 2020-06-25 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book seeks to bridge the gap between the parlance, the models, and even the notations used by physicists and those used by mathematicians when it comes to the topic of probability and stochastic processes. The opening four chapters elucidate the basic concepts of probability, including probability spaces and measures, random variables, and limit theorems. Here, the focus is mainly on models and ideas rather than the mathematical tools. The discussion of limit theorems serves as a gateway to extensive coverage of the theory of stochastic processes, including, for example, stationarity and ergodicity, Poisson and Wiener processes and their trajectories, other Markov processes, jump-diffusion processes, stochastic calculus, and stochastic differential equations. All these conceptual tools then converge in a dynamical theory of Brownian motion that compares the Einstein–Smoluchowski and Ornstein–Uhlenbeck approaches, highlighting the most important ideas that finally led to a connection between the Schrödinger equation and diffusion processes along the lines of Nelson’s stochastic mechanics. A series of appendices cover particular details and calculations, and offer concise treatments of particular thought-provoking topics.

Sojourns in Probability Theory and Statistical Physics - II

Author : Vladas Sidoravicius
Publisher : Springer Nature
ISBN 13 : 9811502986
Total Pages : 261 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Sojourns in Probability Theory and Statistical Physics - II by : Vladas Sidoravicius

Download or read book Sojourns in Probability Theory and Statistical Physics - II written by Vladas Sidoravicius and published by Springer Nature. This book was released on 2019-10-17 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles M. (Chuck) Newman has been a leader in Probability Theory and Statistical Physics for nearly half a century. This three-volume set is a celebration of the far-reaching scientific impact of his work. It consists of articles by Chuck’s collaborators and colleagues across a number of the fields to which he has made contributions of fundamental significance. This publication was conceived during a conference in 2016 at NYU Shanghai that coincided with Chuck's 70th birthday. The sub-titles of the three volumes are: I. Spin Glasses and Statistical Mechanics II. Brownian Web and Percolation III. Interacting Particle Systems and Random Walks The articles in these volumes, which cover a wide spectrum of topics, will be especially useful for graduate students and researchers who seek initiation and inspiration in Probability Theory and Statistical Physics.

Spatial Fleming-Viot Models with Selection and Mutation

Author : Donald A. Dawson
Publisher : Springer
ISBN 13 : 3319021532
Total Pages : 856 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Spatial Fleming-Viot Models with Selection and Mutation by : Donald A. Dawson

Download or read book Spatial Fleming-Viot Models with Selection and Mutation written by Donald A. Dawson and published by Springer. This book was released on 2013-12-12 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constructs a rigorous framework for analysing selected phenomena in evolutionary theory of populations arising due to the combined effects of migration, selection and mutation in a spatial stochastic population model, namely the evolution towards fitter and fitter types through punctuated equilibria. The discussion is based on a number of new methods, in particular multiple scale analysis, nonlinear Markov processes and their entrance laws, atomic measure-valued evolutions and new forms of duality (for state-dependent mutation and multitype selection) which are used to prove ergodic theorems in this context and are applicable for many other questions and renormalization analysis for a variety of phenomena (stasis, punctuated equilibrium, failure of naive branching approximations, biodiversity) which occur due to the combination of rare mutation, mutation, resampling, migration and selection and make it necessary to mathematically bridge the gap (in the limit) between time and space scales.

Analysis and Probability

Author : Palle E. T. Jorgensen
Publisher : Springer Science & Business Media
ISBN 13 : 0387330828
Total Pages : 320 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Analysis and Probability by : Palle E. T. Jorgensen

Download or read book Analysis and Probability written by Palle E. T. Jorgensen and published by Springer Science & Business Media. This book was released on 2007-10-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap in the literature

Cyber-Physical Systems

Author : Houbing Song
Publisher : Morgan Kaufmann
ISBN 13 : 0128038748
Total Pages : 514 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Cyber-Physical Systems by : Houbing Song

Download or read book Cyber-Physical Systems written by Houbing Song and published by Morgan Kaufmann. This book was released on 2016-08-27 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cyber-Physical Systems: Foundations, Principles and Applications explores the core system science perspective needed to design and build complex cyber-physical systems. Using Systems Science’s underlying theories, such as probability theory, decision theory, game theory, organizational sociology, behavioral economics, and cognitive psychology, the book addresses foundational issues central across CPS applications, including System Design -- How to design CPS to be safe, secure, and resilient in rapidly evolving environments, System Verification -- How to develop effective metrics and methods to verify and certify large and complex CPS, Real-time Control and Adaptation -- How to achieve real-time dynamic control and behavior adaptation in a diverse environments, such as clouds and in network-challenged spaces, Manufacturing -- How to harness communication, computation, and control for developing new products, reducing product concepts to realizable designs, and producing integrated software-hardware systems at a pace far exceeding today's timeline. The book is part of the Intelligent Data-Centric Systems: Sensor-Collected Intelligence series edited by Fatos Xhafa, Technical University of Catalonia. Indexing: The books of this series are submitted to EI-Compendex and SCOPUS Includes in-depth coverage of the latest models and theories that unify perspectives, expressing the interacting dynamics of the computational and physical components of a system in a dynamic environment Focuses on new design, analysis, and verification tools that embody the scientific principles of CPS and incorporate measurement, dynamics, and control Covers applications in numerous sectors, including agriculture, energy, transportation, building design and automation, healthcare, and manufacturing