Download or read book Random fields and interacting particle systems Lectures given at the 1971 MAA Summer Seminar written by F. Spitzer and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Random Fields and Interacting Particle Systems written by Frank Spitzer (Mathematician, Austria, United States) and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Random Fields and Interacting Particle Systems written by F. Spitzer and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Random Fields and Interacting Particle Systems written by Frank Spitzer and published by . This book was released on 1971 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book RANDOM FIELDS AND INTERACTING PARTICLE SYSTEMS FRANK SPITZER NOTES ON LECTURES GIVEN AT THE 1971 MAA SUMMER SEM WILLIAMS COLLEGE WILLIAMSTOWN MASS written by Frank Spitzer and published by . This book was released on 1971 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Random Fields written by C. Preston and published by Springer. This book was released on 2006-11-14 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Entropy written by Andreas Greven and published by Princeton University Press. This book was released on 2014-09-08 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.
Download or read book Quantum Interacting Particle Systems written by Luigi Accardi and published by World Scientific. This book was released on 2002 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamics of infinite classical lattice systems has been considered and has led to the study of the properties of ergodicity and convergence to equilibrium of a new class of Markov semigroups. Quantum analogues of these semigroups have also been considered. However, the problem of deriving these Markovian semigroups and, what is much more interesting, the associated stochastic flows, as limits of Hamiltonian systems, rather than postulating their form on a phenomenological basis, is essentially open both in the classical case and in the quantum case. This book presents a conjecture that, by coupling a quantum spin system in finite volume to a quantum field via a suitable interaction, applying the stochastic golden rule and taking the thermodynamic limit, one may obtain a class of quantum flows which, when restricted to an appropriate Abelian subalgebra, gives rise to the classical interacting particle systems studied in classical statistical mechanics.
Download or read book Additive and Cancellative Interacting Particle Systems written by D. Griffeath and published by Springer. This book was released on 2006-11-15 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Problems in the Information Theory of Random Fields written by Flavio Bonomi and published by . This book was released on 1985 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Processes with Applications written by Rabi N. Bhattacharya and published by SIAM. This book was released on 1990-01-01 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops systematically and rigorously, yet in an expository and lively manner, the evolution of general random processes and their large time properties such as transience, recurrence, and convergence to steady states. The emphasis is on the most important classes of these processes from the viewpoint of theory as well as applications, namely, Markov processes. The book features very broad coverage of the most applicable aspects of stochastic processes, including sufficient material for self-contained courses on random walk in one and multiple dimensions; Markov chains in discrete and continuous times, including birth-death processes; Brownian motion and diffusions; stochastic optimization; and stochastic differential equations. Audience: this book can be used for a number of different courses for graduate students of mathematics, statistics, economics, engineering, and other fields who have some background in probability and analysis. It is also intended as a reference for researchers and professionals in many areas of science and technology whose work involves the application of probability.
Download or read book The Description of a Random Field by Means of Its Conditional Distribution written by Stanford University. Department of Operations Research. Operations Research House and published by . This book was released on 1974 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let T denote the d-dimensional integer lattice. Let X = (X(t); t belongs to T) be a process taking values on a countable space E with probability law P. The pair (X, P) is called a random field. For each finite subset J of T, let Q sub J denote the conditional distribution of (X(t); t belongs to J) given the values of X(t), t belongs to J. The collection Q = (Q sub J; J subset T) is called the conditional distribution of (X, P). A characterization is given for the collection of all random fields with a given conditional distribution Q. (Author).
Download or read book Gibbs Measures and Phase Transitions written by Hans-Otto Georgii and published by Walter de Gruyter. This book was released on 2011 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a review of the first edition: "This book [...] covers in depth a broad range of topics in the mathematical theory of phase transition in statistical mechanics. [...] It is in fact one of the author's stated aims that this comprehensive monograph should serve both as an introductory text and as a reference for the expert." (F. Papangelou
Download or read book On Entropy and Epsilon entropy of Random Fields written by Zhongxing Ye and published by . This book was released on 1989 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Economy As An Evolving Complex System II written by W. Brian Arthur and published by CRC Press. This book was released on 2018-05-04 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new view of the economy as an evolving, complex system has been pioneered at the Santa Fe Institute over the last ten years, This volume is a collection of articles that shape and define this view?a view of the economy as emerging from the interactions of individual agents whose behavior constantly evolves, whose strategies and actions are always adapting.The traditional framework in economics portrays activity within an equilibrium steady state. The interacting agents in the economy are typically homogenous, solve well-defined problems using perfect rationality, and act within given legal and social structures. The complexity approach, by contrast, sees economic activity as continually changing?continually in process. The interacting agents are typically heterogeneous, they must cognitively interpret the problems they face, and together they create the structures?markets, legal and social institutions, price patters, expectations?to which they individually react. Such structures may never settle down. Agents may forever adapt and explore and evolve their behaviors within structures that continually emerge and change and disappear?structures these behaviors co-create. This complexity approach does not replace the equilibrium one?it complements it.The papers here collected originated at a recent conference at the Santa Fe Institute, which was called to follow up the well-known 1987 SFI conference organized by Philip Anderson, Kenneth Arrow, and David Pines. They survey the new study of complexity and the economy. They apply this approach to real economic problems and they show the extent to which the initial vision of the 1987 conference has come to fruition.
Download or read book A First Course in Information Theory written by Raymond W. Yeung and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date introduction to information theory. In addition to the classical topics discussed, it provides the first comprehensive treatment of the theory of I-Measure, network coding theory, Shannon and non-Shannon type information inequalities, and a relation between entropy and group theory. ITIP, a software package for proving information inequalities, is also included. With a large number of examples, illustrations, and original problems, this book is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in related fields.
Download or read book Bulletin Institute of Mathematical Statistics written by Institute of Mathematical Statistics and published by . This book was released on 1975 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
