Introduction To Percolation Theory
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Introduction To Percolation Theory
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Author : A. Aharony
language : en
Publisher: Taylor & Francis
Release Date : 2003-07-13
Introduction To Percolation Theory written by A. Aharony and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-13 with Science categories.
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.
Introduction To Percolation Theory
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Author : Dietrich Stauffer
language : en
Publisher: CRC Press
Release Date : 1994-07-18
Introduction To Percolation Theory written by Dietrich Stauffer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-07-18 with Science categories.
This work dealing with percolation theory clustering, criticallity, diffusion, fractals and phase transitions takes a broad approach to the subject, covering basic theory and also specialized fields like disordered systems and renormalization groups.
Introduction To Percolation Theory
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Author : Dietrich Stauffer
language : en
Publisher:
Release Date : 1987
Introduction To Percolation Theory written by Dietrich Stauffer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Percolation (Statistical physics) categories.
Percolation
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Author : Geoffrey R. Grimmett
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Percolation written by Geoffrey R. Grimmett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Percolation theory is the study of an idealized random medium in two or more dimensions. The mathematical theory is mature, and continues to give rise to problems of special beauty and difficulty. Percolation is pivotal for studying more complex physical systems exhibiting phase transitions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. The book is intended for graduate students and researchers in probability and mathematical physics. Almost no specialist knowledge is assumed. 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.
Percolation Theory For Mathematicians
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Author : Kesten
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Percolation Theory For Mathematicians written by Kesten and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
Quite apart from the fact that percolation theory had its orlgln in an honest applied problem (see Hammersley and Welsh (1980)), it is a source of fascinating problems of the best kind a mathematician can wish for: problems which are easy to state with a minimum of preparation, but whose solutions are (apparently) difficult and require new methods. At the same time many of the problems are of interest to or proposed by statistical physicists and not dreamt up merely to demons~te ingenuity. Progress in the field has been slow. Relatively few results have been established rigorously, despite the rapidly growing literature with variations and extensions of the basic model, conjectures, plausibility arguments and results of simulations. It is my aim to treat here some basic results with rigorous proofs. This is in the first place a research monograph, but there are few prerequisites; one term of any standard graduate course in probability should be more than enough. Much of the material is quite recent or new, and many of the proofs are still clumsy. Especially the attempt to give proofs valid for as many graphs as possible led to more complications than expected. I hope that the Applications and Examples provide justifi cation for going to this level of generality.
Introduction To Percolation Theory
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Author :
language : en
Publisher:
Release Date : 2003
Introduction To Percolation Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Percolation theory deals with clustering, criticallity, diffusion, fractals, phase transitions and disordered systems. This book covers the basic theory for the graduate, and also professionals dealing with it for the first time.
Percolation Theory In Reservoir Engineering
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Author : Peter King
language : en
Publisher: World Scientific
Release Date : 2018-09-14
Percolation Theory In Reservoir Engineering written by Peter King and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-14 with Technology & Engineering categories.
This book aims to develop the ideas from fundamentals of percolation theory to practical reservoir engineering applications. Through a focus on field scale applications of percolation concepts to reservoir engineering problems, it offers an approximation method to determine many important reservoir parameters, such as effective permeability and reservoir connectivity and the physical analysis of some reservoir engineering properties. Starring with the concept of percolation theory, it then develops into methods to simple geological systems like sand-bodies and fractures. The accuracy and efficiency of the percolation concept for these is explained and further extended to more complex realistic models.Percolation Theory in Reservoir Engineering primarily focuses on larger reservoir scale flow and demonstrates methods that can be used to estimate large scale properties and their uncertainty, crucial for major development and investment decisions in hydrocarbon recovery.
Introduction To Percolation Theory
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Author : Dietrich Stauffer
language : en
Publisher:
Release Date : 1998
Introduction To Percolation Theory written by Dietrich Stauffer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Continuum Percolation
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Author : Ronald Meester
language : en
Publisher: Cambridge University Press
Release Date : 1996-06-13
Continuum Percolation written by Ronald Meester and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-13 with Mathematics categories.
Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modelled is made up of individual events that overlap, for example, the way individual raindrops eventually make the ground evenly wet. This is a systematic rigorous account of continuum percolation. Two models, the Boolean model and the random connection model, are treated in detail, and related continuum models are discussed. All important techniques and methods are explained and applied to obtain results on the existence of phase transitions, equality and continuity of critical densities, compressions, rarefaction, and other aspects of continuum models. This self-contained treatment, assuming only familiarity with measure theory and basic probability theory, will appeal to students and researchers in probability and stochastic geometry.
50 Years Of First Passage Percolation
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Author : Antonio Auffinger
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-12-20
50 Years Of First Passage Percolation written by Antonio Auffinger and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-20 with Mathematics categories.
First-passage percolation (FPP) is a fundamental model in probability theory that has a wide range of applications to other scientific areas (growth and infection in biology, optimization in computer science, disordered media in physics), as well as other areas of mathematics, including analysis and geometry. FPP was introduced in the 1960s as a random metric space. Although it is simple to define, and despite years of work by leading researchers, many of its central problems remain unsolved. In this book, the authors describe the main results of FPP, with two purposes in mind. First, they give self-contained proofs of seminal results obtained until the 1990s on limit shapes and geodesics. Second, they discuss recent perspectives and directions including (1) tools from metric geometry, (2) applications of concentration of measure, and (3) related growth and competition models. The authors also provide a collection of old and new open questions. This book is intended as a textbook for a graduate course or as a learning tool for researchers.