Stochastic Processes On A Lattice And Gibbs Measure

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Stochastic Processes on a Lattice and Gibbs Measures

Author : Bernard Prum
Publisher : Springer Science & Business Media
ISBN 13 : 9401132682
Total Pages : 230 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Stochastic Processes on a Lattice and Gibbs Measures by : Bernard Prum

Download or read book Stochastic Processes on a Lattice and Gibbs Measures written by Bernard Prum and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many domains one encounters "systems" of interacting elements, elements that interact more forcefully the closer they may be. The historical example upon which the theory offered in this book is based is that of magnetization as it is described by the Ising model. At the vertices of a regular lattice of sites, atoms "choos e" an orientation under the influence of the orientations of the neighboring atoms. But other examples are known, in physics (the theories of gasses, fluids, .. J, in biology (cells are increasingly likely to become malignant when their neighboring cells are malignant), or in medecine (the spread of contagious deseases, geogenetics, .. .), even in the social sciences (spread of behavioral traits within a population). Beyond the spacial aspect that is related to the idea of "neighboring" sites, the models for all these phenomena exhibit three common features: - The unavoidable ignorance about the totality of the phenomenon that is being studied and the presence of a great number of often unsuspected factors that are always unquantified lead inevitably to stochastic models. The concept of accident is very often inherent to the very nature of the phenomena considered, so, to justify this procedure, one has recourse to the physicist's principle of indeterminacy, or, for example, to the factor of chance in the Mendelian genetics of phenotypes.

Stochastic Processes on a Lattice and Gibbs Measure

Author : Bernard Prum
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (729 download)

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Book Synopsis Stochastic Processes on a Lattice and Gibbs Measure by : Bernard Prum

Download or read book Stochastic Processes on a Lattice and Gibbs Measure written by Bernard Prum and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Processes, Physics and Geometry: New Interplays. I

Author : Sergio Albeverio
Publisher : American Mathematical Soc.
ISBN 13 : 9780821819593
Total Pages : 348 pages
Book Rating : 4.8/5 (195 download)

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Book Synopsis Stochastic Processes, Physics and Geometry: New Interplays. I by : Sergio Albeverio

Download or read book Stochastic Processes, Physics and Geometry: New Interplays. I written by Sergio Albeverio and published by American Mathematical Soc.. This book was released on 2000 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume and "IStochastic Processes, Physics and Geometry: New Interplays II" present state-of-the-art research currently unfolding at the interface between mathematics and physics. Included are select articles from the international conference held in Leipzig (Germany) in honor of Sergio Albeverio's sixtieth birthday. The theme of the conference, "Infinite Dimensional (Stochastic) Analysis and Quantum Physics", was chosen to reflect Albeverio's wide-ranging scientific interests. The articles in these books reflect that broad range of interests and provide a detailed overview highlighting the deep interplay among stochastic processes, mathematical physics, and geometry. The contributions are written by internationally recognized experts in the fields of stochastic analysis, linear and nonlinear (deterministic and stochastic) PDEs, infinite dimensional analysis, functional analysis, commutative and noncommutative probability theory, integrable systems, quantum and statistical mechanics, geometric quantization, and neural networks. Also included are applications in biology and other areas. Most of the contributions are high-level research papers. However, there are also some overviews on topics of general interest. The articles selected for publication in these volumes were specifically chosen to introduce readers to advanced topics, to emphasize interdisciplinary connections, and to stress future research directions. Volume I contains contributions from invited speakers; Volume II contains additional contributed papers. Members of the Canadian Mathematical Society may order at the AMS member price.

Stochastic Analysis on Large Scale Interacting Systems

Author : Kyōto Daigaku. Kiso Butsurigaku Kenkyūjo. Conference
Publisher : Virago Press
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Stochastic Analysis on Large Scale Interacting Systems by : Kyōto Daigaku. Kiso Butsurigaku Kenkyūjo. Conference

Download or read book Stochastic Analysis on Large Scale Interacting Systems written by Kyōto Daigaku. Kiso Butsurigaku Kenkyūjo. Conference and published by Virago Press. This book was released on 2004 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of 15 research and survey papers written by the speakers from two international conferences held in Japan, The 11th Mathematical Society of Japan International Research Institute's Stochastic Analysis on Large Scale Interacting Systems and Stochastic Analysis and Statistical Mechanics. Topics discussed in the volume cover the hydrodynamic limit, fluctuations, large deviations, spectral gap (Poincare inequality), logarithmic Sobolev inequality, Ornstein-Zernike asymptotics, random environments, determinantal expressions for systems including exclusion processes (stochastic lattice gas, Kawasaki dynamics), zero range processes, interacting Brownian particles, random walks, self-avoiding walks, Ginzburg-Landau model, interface models, Ising model, Widom-Rowlinson model, directed polymers, random matrices, Dyson's model, and more. The material is suitable for graduate students and researchers interested in probability theory, stochastic processes, and statistical mechanics.

Probability on Graphs

Author : Geoffrey Grimmett
Publisher : Cambridge University Press
ISBN 13 : 1108542999
Total Pages : 279 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Probability on Graphs by : Geoffrey Grimmett

Download or read book Probability on Graphs written by Geoffrey Grimmett and published by Cambridge University Press. This book was released on 2018-01-25 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.

Stochastic Processes, Physics And Geometry Ii - Proceedings Of The Iii International Conference

Author : Sergio Albeverio
Publisher : World Scientific
ISBN 13 : 981454969X
Total Pages : 758 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Stochastic Processes, Physics And Geometry Ii - Proceedings Of The Iii International Conference by : Sergio Albeverio

Download or read book Stochastic Processes, Physics And Geometry Ii - Proceedings Of The Iii International Conference written by Sergio Albeverio and published by World Scientific. This book was released on 1995-02-17 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: As was already evident from the previous two meetings, the theory of stochastic processes, the study of geometrical structures, and the investigation of certain physical problems are inter-related. In fact the trend in recent years has been towards stronger interactions between these areas. As a result, a large component of the contributions is concerned with the theory of stochastic processes, quantum theory, and their relations.

Interacting Stochastic Systems

Author : Jean-Dominique Deuschel
Publisher : Springer Science & Business Media
ISBN 13 : 3540271104
Total Pages : 443 pages
Book Rating : 4.5/5 (42 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 2005-12-05 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Core papers emanating from the research network, DFG-Schwerpunkt: Interacting stochastic systems of high complexity.

Statistical Mechanics of Lattice Systems

Author : Sacha Friedli
Publisher : Cambridge University Press
ISBN 13 : 1107184827
Total Pages : 643 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Statistical Mechanics of Lattice Systems by : Sacha Friedli

Download or read book Statistical Mechanics of Lattice Systems written by Sacha Friedli and published by Cambridge University Press. This book was released on 2017-11-23 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

Methods of Contemporary Mathematical Statistical Physics

Author : Marek Biskup
Publisher : Springer Science & Business Media
ISBN 13 : 3540927956
Total Pages : 356 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Methods of Contemporary Mathematical Statistical Physics by : Marek Biskup

Download or read book Methods of Contemporary Mathematical Statistical Physics written by Marek Biskup and published by Springer Science & Business Media. This book was released on 2009-03-25 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. An introductory chapter on lattice spin models is useful as a background for other lectures of the collection. The topics include new results on phase transitions for gradient lattice models (with introduction to the techniques of the reflection positivity), stochastic geometry reformulation of classical and quantum Ising models, the localization/delocalization transition for directed polymers. A general rigorous framework for theory of metastability is presented and particular applications in the context of Glauber and Kawasaki dynamics of lattice models are discussed. A pedagogical account of several recently discussed topics in nonequilibrium statistical mechanics with an emphasis on general principles is followed by a discussion of kinetically constrained spin models that are reflecting important peculiar features of glassy dynamics.

Contemporary Combinatorics

Author : Bela Bollobas
Publisher : Springer Science & Business Media
ISBN 13 : 9783540427254
Total Pages : 310 pages
Book Rating : 4.4/5 (272 download)

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Book Synopsis Contemporary Combinatorics by : Bela Bollobas

Download or read book Contemporary Combinatorics written by Bela Bollobas and published by Springer Science & Business Media. This book was released on 2002-05-28 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of survey papers in combinatorics that have grown out of lectures given in the workshop on Probabilistic Combinatorics at the Paul Erdös Summer Research Center in Mathematics in Budapest. The papers, reflecting the many facets of modern-day combinatorics, will be appreciated by specialists and general mathematicians alike: assuming relatively little background, each paper gives a quick introduction to an active area, enabling the reader to learn about the fundamental results and appreciate some of the latest developments. An important feature of the articles, very much in the spirit of Erdös, is the abundance of open problems.

The Statistical Mechanics of Quantum Lattice Systems

Author :
Publisher : European Mathematical Society
ISBN 13 : 9783037190708
Total Pages : 402 pages
Book Rating : 4.1/5 (97 download)

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Book Synopsis The Statistical Mechanics of Quantum Lattice Systems by :

Download or read book The Statistical Mechanics of Quantum Lattice Systems written by and published by European Mathematical Society. This book was released on 2009 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum statistical mechanics plays a major role in many fields such as thermodynamics, plasma physics, solid-state physics, and the study of stellar structure. While the theory of quantum harmonic oscillators is relatively simple, the case of anharmonic oscillators, a mathematical model of a localized quantum particle, is more complex and challenging. Moreover, infinite systems of interacting quantum anharmonic oscillators possess interesting ordering properties with respect to quantum stabilization. This book presents a rigorous approach to the statistical mechanics of such systems, in particular with respect to their actions on a crystal lattice. The text is addressed to both mathematicians and physicists, especially those who are concerned with the rigorous mathematical background of their results and the kind of problems that arise in quantum statistical mechanics. The reader will find here a concise collection of facts, concepts, and tools relevant for the application of path integrals and other methods based on measure and integration theory to problems of quantum physics, in particular the latest results in the mathematical theory of quantum anharmonic crystals. The methods developed in the book are also applicable to other problems involving infinitely many variables, for example, in biology and economics.

On Klauder's Path: A Field Trip

Author : Gerard Gustav Emch
Publisher : World Scientific
ISBN 13 : 9814502278
Total Pages : 286 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis On Klauder's Path: A Field Trip by : Gerard Gustav Emch

Download or read book On Klauder's Path: A Field Trip written by Gerard Gustav Emch and published by World Scientific. This book was released on 1994-04-27 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions by friends, colleagues and associates of John R Klauder on the occasion of his 60th birthday.Klauder's scientific work embraces vast territories from quantum theories to general relativity, optics and chaotic dynamics. A recurrent theme in his research is the role played by coherent states, in particular, in connection with path integral formulations of quantization. Perhaps at a less lofty level, this concept has had at least two spectacular applications: as a powerful investigative tool in quantum optics and as a precursor to wavelets. In a different vein, Klauder also attacked specific, non-renormalizable but exactly soluble, hard-core models in field theory, where he uncovered what has since been called the Klauder phenomenon.The contributors to this volume represent the special brand of mathematicians and physicists John Klauder helped define throughout his seminal career in the industrial and academic worlds.

Hybrid Systems II

Author : Panos Antsaklis
Publisher : Springer Science & Business Media
ISBN 13 : 9783540604723
Total Pages : 584 pages
Book Rating : 4.6/5 (47 download)

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Book Synopsis Hybrid Systems II by : Panos Antsaklis

Download or read book Hybrid Systems II written by Panos Antsaklis and published by Springer Science & Business Media. This book was released on 1995-10-09 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents the scientific outcome of the Third International Workshop on Hybrid Systems, held in Ithaca, NY, USA, in October 1994. It presents a selection of carefully reviewed and revised full papers chosen from the workshop contribution and is the successor to LNCS 736, the seminal "Hybrid Systems" volume edited by Grossman, Nerode, Ravn, and Rischel. Hybrid systems are models for networks of digital and continuous devices, in which digital control programs sense and supervise continuous and discrete plants governed by differential or difference equations. The investigation of hybrid systems is creating a new and fascinating discipline bridging mathematics, computer science, and control engineering.

Dirichlet Forms and Stochastic Processes

Author : Zhiming Ma
Publisher : Walter de Gruyter
ISBN 13 : 3110880059
Total Pages : 457 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Dirichlet Forms and Stochastic Processes by : Zhiming Ma

Download or read book Dirichlet Forms and Stochastic Processes written by Zhiming Ma and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Sojourns in Probability Theory and Statistical Physics - I

Author : Vladas Sidoravicius
Publisher : Springer Nature
ISBN 13 : 9811502943
Total Pages : 338 pages
Book Rating : 4.8/5 (115 download)

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

Download or read book Sojourns in Probability Theory and Statistical Physics - I written by Vladas Sidoravicius and published by Springer Nature. This book was released on 2019-10-17 with total page 338 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.

Essentials of Stochastic Processes

Author : Richard Durrett
Publisher : Springer
ISBN 13 : 3319456148
Total Pages : 282 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Essentials of Stochastic Processes by : Richard Durrett

Download or read book Essentials of Stochastic Processes written by Richard Durrett and published by Springer. This book was released on 2016-11-07 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.

Probability on Discrete Structures

Author : Harry Kesten
Publisher : Springer Science & Business Media
ISBN 13 : 3662094444
Total Pages : 358 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Probability on Discrete Structures by : Harry Kesten

Download or read book Probability on Discrete Structures written by Harry Kesten and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability.