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Percolation Theory And Particle Systems
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Book Synopsis Percolation Theory and Particle Systems by : Rahul Roy
Download or read book Percolation Theory and Particle Systems written by Rahul Roy and published by Universities Press. This book was released on 2000 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the talks presented at the Workshop on Percolation Theory and Particle Systems held at the Indian Statistical Institute. The workshop was intended to be instructional in nature and the articles here reflect it. The articles present the basic tools and some important results in percolation theory and particles systems.
Book Synopsis Percolation Theory and Ergodic Theory of Infinite Particle Systems by : Harry Kesten
Download or read book Percolation Theory and Ergodic Theory of Infinite Particle Systems written by Harry Kesten and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in ~athematics and its Applications PERCOLATION THEORY AND ERGODIC THEORY OF INFINITE PARTICLE SYSTEMS represents the proceedings of a workshop which was an integral part of the 19R4-85 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS We are grateful to the Scientific Committee: naniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaoo for planning and implementing an exciting and stimulating year-long program. We especially thank the Workshop Organizing Committee, Harry Kesten (Chairman), Richard Holley, and Thomas Liggett for organizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinherger PREFACE Percolation theory and interacting particle systems both have seen an explosive growth in the last decade. These suhfields of probability theory are closely related to statistical mechanics and many of the publications on these suhjects (especially on the former) appear in physics journals, wit~ a great variahility in the level of rigour. There is a certain similarity and overlap hetween the methods used in these two areas and, not surprisingly, they tend to attract the same probabilists. It seemed a good idea to organize a workshop on "Percolation Theory and Ergodic Theory of Infinite Particle Systems" in the framework of the special probahility year at the Institute for Mathematics and its Applications in 1985-86. Such a workshop, dealing largely with rigorous results, was indeed held in February 1986.
Book Synopsis Percolation Theory and Ergodic Theory of Infinite Particle Systems by : Harry Kesten
Download or read book Percolation Theory and Ergodic Theory of Infinite Particle Systems written by Harry Kesten and published by . This book was released on 1987-01-01 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction To Percolation Theory by : A. Aharony
Download or read book Introduction To Percolation Theory written by A. Aharony and published by Taylor & Francis. This book was released on 2003-07-13 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Percolation theory deals with clustering, criticality, diffusion, fractals, phase transitions and disordered systems. It provides a quantitative model for understanding these phenomena, and therefore a theoretical and statistical background to many physical and natural sciences. This book explains the basic theory for the graduate while also reaching into the specialized fields of disordered systems and renormalization groups. Much of the book deals with systems lying close to the critical point phase transition point, where the subject is at its most interesting and sensitive. This text is ideal for those who deal with systems which exhibit critical points and phase transition behavior.
Book Synopsis Lecture Notes on Particle Systems and Percolation by : Richard Durrett
Download or read book Lecture Notes on Particle Systems and Percolation written by Richard Durrett and published by Wadsworth Publishing Company. This book was released on 1988 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Particle Systems, Random Media, and Large Deviations by : Richard Durrett
Download or read book Particle Systems, Random Media, and Large Deviations written by Richard Durrett and published by American Mathematical Soc.. This book was released on 1985 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the proceedings of the 1984 AMS Summer Research Conference. 'The Mathematics of Phase Transitions' provides a handy summary of results from some of the most exciting areas in probability theory today; interacting particle systems, percolation, random media (bulk properties and hydrodynamics), the Ising model and large deviations. Thirty-seven mathematicians, many of them well-known probabilists, collaborated to produce this readable introduction to the main results and unsolved problems in the field. In fact, it is one of the very few collections of articles yet to be published on these topics. To appreciate many of the articles, an undergraduate course in probability is sufficient. The book will be valuable to probabilists, especially those interested in mathematical physics and to physicists interested in statistical mechanics or disordered systems.
Book Synopsis Percolation by : Geoffrey R. Grimmett
Download or read book Percolation written by Geoffrey R. Grimmett and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Percolation theory is the study of an idealized random medium in two or more dimensions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. Much new material appears in this second edition including dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.
Book Synopsis Applications of Percolation Theory by : Muhammad Sahimi
Download or read book Applications of Percolation Theory written by Muhammad Sahimi and published by Springer Nature. This book was released on 2023-03-18 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was published in 1994. Since then considerable progress has been made in both theoretical developments of percolation theory, and in its applications. The 2nd edition of this book is a response to such developments. Not only have all of the chapters of the 1st edition been completely rewritten, reorganized, and updated all the way to 2022, but also 8 new chapters have been added that describe extensive new applications, including biological materials, networks and graphs, directed percolation, earthquakes, geochemical processes, and large-scale real world problems, from spread of technology to ad-hoc mobile networks.
Book Synopsis Applications Of Percolation Theory by : M Sahini
Download or read book Applications Of Percolation Theory written by M Sahini and published by CRC Press. This book was released on 2003-07-13 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades percolation theory has been used to explain and model a wide variety of phenomena that are of industrial and scientific importance. Examples include characterization of porous materials and reservoir rocks, fracture patterns and earthquakes in rocks, calculation of effective transport properties of porous media permeability, conductivity, diffusivity, etc., groundwater flow, polymerization and gelation, biological evolution, galactic formation in the universe, spread of knowledge, and many others. Most of such applications have resulted in qualitative as well as quantitative predictions for the system of interest. This book attempts to describe in simple terms some of these applications, outline the results obtained so far, and provide further references for future reading.
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.
Book Synopsis Additive and Cancellative Interacting Particle Systems by : D. Griffeath
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:
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.
Book Synopsis Scaling Limits of Interacting Particle Systems by : Claude Kipnis
Download or read book Scaling Limits of Interacting Particle Systems written by Claude Kipnis and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been long awaited in the "interacting particle systems" community. Begun by Claude Kipnis before his untimely death, it was completed by Claudio Landim, his most brilliant student and collaborator. It presents the techniques used in the proof of the hydrodynamic behavior of interacting particle systems.
Book Synopsis Perplexing Problems in Probability by : Maury Bramson
Download or read book Perplexing Problems in Probability written by Maury Bramson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harry Kesten has had a profound influence on probability theory for over 30 years. To honour his achievements a number of prominent probabilists have written survey articles on a wide variety of active areas of contemporary probability, many of which are closely related to Kesten's work.
Book Synopsis Lectures on Probability Theory by : Philippe Biane
Download or read book Lectures on Probability Theory written by Philippe Biane and published by Springer. This book was released on 2006-11-14 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains two of the three lectures given at the Saint-Flour Summer School of Probability Theory during the period August 18 to September 4, 1993.
Book Synopsis Fundamentals of Discrete Element Methods for Rock Engineering: Theory and Applications by : Lanru Jing
Download or read book Fundamentals of Discrete Element Methods for Rock Engineering: Theory and Applications written by Lanru Jing and published by Elsevier. This book was released on 2007-07-18 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some fundamental concepts behind the basic theories and tools of discrete element methods (DEM), its historical development, and its wide scope of applications in geology, geophysics and rock engineering. Unlike almost all books available on the general subject of DEM, this book includes coverage of both explicit and implicit DEM approaches, namely the Distinct Element Methods and Discontinuous Deformation Analysis (DDA) for both rigid and deformable blocks and particle systems, and also the Discrete Fracture Network (DFN) approach for fluid flow and solute transport simulations. The latter is actually also a discrete approach of importance for rock mechanics and rock engineering. In addition, brief introductions to some alternative approaches are also provided, such as percolation theory and Cosserat micromechanics equivalence to particle systems, which often appear hand-in-hand with the DEM in the literature. Fundamentals of the particle mechanics approach using DEM for granular media is also presented. · Presents the fundamental concepts of the discrete models for fractured rocks, including constitutive models of rock fractures and rock masses for stress, deformation and fluid flow · Provides a comprehensive presentation on discrete element methods, including distinct elements, discontinuous deformation analysis, discrete fracture networks, particle mechanics and Cosserat representation of granular media · Features constitutive models of rock fractures and fracture system characterization methods detaiing their significant impacts on the performance and uncertainty of the DEM models
Book Synopsis Random Walks, Brownian Motion, and Interacting Particle Systems by : H. Kesten
Download or read book Random Walks, Brownian Motion, and Interacting Particle Systems written by H. Kesten and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles is dedicated to Frank Spitzer on the occasion of his 65th birthday. The articles, written by a group of his friends, colleagues, former students and coauthors, are intended to demonstrate the major influence Frank has had on probability theory for the last 30 years and most likely will have for many years to come. Frank has always liked new phenomena, clean formulations and elegant proofs. He has created or opened up several research areas and it is not surprising that many people are still working out the consequences of his inventions. By way of introduction we have reprinted some of Frank's seminal articles so that the reader can easily see for himself the point of origin for much of the research presented here. These articles of Frank's deal with properties of Brownian motion, fluctuation theory and potential theory for random walks, and, of course, interacting particle systems. The last area was started by Frank as part of the general resurgence of treating problems of statistical mechanics with rigorous probabilistic tools.
