Percolation

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Publisher : Springer Science & Business Media
ISBN 13 : 3662039818
Total Pages : 459 pages
Book Rating : 4.6/5 (62 download)

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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.

Introduction To Percolation Theory

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Publisher : CRC Press
ISBN 13 : 1482272377
Total Pages : 192 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Introduction To Percolation Theory by : Dietrich Stauffer

Download or read book Introduction To Percolation Theory written by Dietrich Stauffer and published by CRC Press. This book was released on 2018-12-10 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Percolation

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Publisher : Cambridge University Press
ISBN 13 : 0521872324
Total Pages : 334 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Percolation by : Bela Bollobás

Download or read book Percolation written by Bela Bollobás and published by Cambridge University Press. This book was released on 2006-09-21 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2006, is an account of percolation theory and its ramifications.

Percolation Theory for Mathematicians

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Publisher : Springer Science & Business Media
ISBN 13 : 1489927301
Total Pages : 432 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Percolation Theory for Mathematicians by : Kesten

Download or read book Percolation Theory for Mathematicians written by Kesten and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Percolation Theory for Flow in Porous Media

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Publisher : Springer Science & Business Media
ISBN 13 : 3540897895
Total Pages : 334 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Percolation Theory for Flow in Porous Media by : Allen Hunt

Download or read book Percolation Theory for Flow in Porous Media written by Allen Hunt and published by Springer Science & Business Media. This book was released on 2009-05-05 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why would we wish to start a 2nd edition of “Percolation theory for ?ow in porous media” only two years after the ?rst one was ?nished? There are essentially three reasons: 1) Reviews in the soil physics community have pointed out that the introductory material on percolation theory could have been more accessible. Our additional experience in teaching this material led us to believe that we could improve this aspect of the book. In the context of rewriting the ?rst chapter, however, we also expanded the discussion of Bethe lattices and their relevance for “classical” - ponents of percolation theory, thus giving more of a basis for the discussion of the relevance of hyperscaling. This addition, though it will not tend to make the book more accessible to hydrologists, was useful in making it a more complete reference, and these sections have been marked as being possible to omit in a ?rst reading. It also forced a division of the ?rst chapter into two. We hope that physicists without a background in percolation theory will now also ?nd the - troductory material somewhat more satisfactory. 2) We have done considerable further work on problems of electrical conductivity, thermal conductivity, and electromechanical coupling.

Continuum Percolation

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Publisher : Cambridge University Press
ISBN 13 : 131658254X
Total Pages : 252 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Continuum Percolation by : Ronald Meester

Download or read book Continuum Percolation written by Ronald Meester and published by Cambridge University Press. This book was released on 1996-06-13 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher : American Mathematical Soc.
ISBN 13 : 1470441837
Total Pages : 169 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis 50 Years of First-Passage Percolation by : Antonio Auffinger

Download or read book 50 Years of First-Passage Percolation written by Antonio Auffinger and published by American Mathematical Soc.. This book was released on 2017-12-20 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Percolation Theory In Reservoir Engineering

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Publisher : World Scientific
ISBN 13 : 1786345250
Total Pages : 385 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Percolation Theory In Reservoir Engineering by : Peter King

Download or read book Percolation Theory In Reservoir Engineering written by Peter King and published by World Scientific. This book was released on 2018-09-14 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Percolation Structures and Processes

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Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Percolation Structures and Processes by : Guy Deutscher

Download or read book Percolation Structures and Processes written by Guy Deutscher and published by . This book was released on 1983 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Percolation Theory and Ergodic Theory of Infinite Particle Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461387345
Total Pages : 322 pages
Book Rating : 4.4/5 (613 download)

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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.

Introduction To Percolation Theory

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Publisher : CRC Press
ISBN 13 : 1420074792
Total Pages : 205 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction To Percolation Theory by : Dietrich Stauffer

Download or read book Introduction To Percolation Theory written by Dietrich Stauffer and published by CRC Press. This book was released on 1994-07-18 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications of Percolation Theory

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Publisher : Springer Nature
ISBN 13 : 3031203860
Total Pages : 690 pages
Book Rating : 4.0/5 (312 download)

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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.

Quantum and Semi-classical Percolation and Breakdown in Disordered Solids

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Publisher : Springer Science & Business Media
ISBN 13 : 3540854274
Total Pages : 334 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Quantum and Semi-classical Percolation and Breakdown in Disordered Solids by : Asok K. Sen

Download or read book Quantum and Semi-classical Percolation and Breakdown in Disordered Solids written by Asok K. Sen and published by Springer Science & Business Media. This book was released on 2009-03-20 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture notes in physics volume mainly focuses on the semi classical and qu- tum aspects of percolation and breakdown in disordered, composite or granular s- tems. The main reason for this undertaking has been the fact that, of late, there have been a lot of (theoretical) work on quantum percolation, but there is not even a (single) published review on the topic (and, of course, no book). Also, there are many theoretical and experimental studies on the nonlinear current-voltage characteristics both away from, as well as one approaches, an electrical breakdown in composite materials. Some of the results are quite intriguing and may broadly be explained utilising a semi classical (if not, fully quantum mechanical) tunnelling between - cron or nano-sized metallic islands dispersed separated by thin insulating layers, or in other words, between the dangling ends of small percolation clusters. There have also been several (theoretical) studies of Zener breakdown in Mott or Anderson in- lators. Again, there is no review available, connecting them in any coherent fashion. A compendium volume connecting these experimental and theoretical studies should be unique and very timely, and hence this volume. The book is organised as follows. For completeness, we have started with a short and concise introduction on classical percolation. In the ?rst chapter, D. Stauffer reviews the scaling theory of classical percolation emphasizing (biased) diffusion, without any quantum effects. The next chapter by A. K.

Progress in High-Dimensional Percolation and Random Graphs

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Publisher : Springer
ISBN 13 : 3319624733
Total Pages : 285 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Progress in High-Dimensional Percolation and Random Graphs by : Markus Heydenreich

Download or read book Progress in High-Dimensional Percolation and Random Graphs written by Markus Heydenreich and published by Springer. This book was released on 2017-11-22 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents an engaging exposition of the active field of high-dimensional percolation that will likely provide an impetus for future work. With over 90 exercises designed to enhance the reader’s understanding of the material, as well as many open problems, the book is aimed at graduate students and researchers who wish to enter the world of this rich topic. The text may also be useful in advanced courses and seminars, as well as for reference and individual study. Part I, consisting of 3 chapters, presents a general introduction to percolation, stating the main results, defining the central objects, and proving its main properties. No prior knowledge of percolation is assumed. Part II, consisting of Chapters 4–9, discusses mean-field critical behavior by describing the two main techniques used, namely, differential inequalities and the lace expansion. In Parts I and II, all results are proved, making this the first self-contained text discussing high-dime nsional percolation. Part III, consisting of Chapters 10–13, describes recent progress in high-dimensional percolation. Partial proofs and substantial overviews of how the proofs are obtained are given. In many of these results, the lace expansion and differential inequalities or their discrete analogues are central. Part IV, consisting of Chapters 14–16, features related models and further open problems, with a focus on the big picture.

Causes and Prevention of Failure of Septic-tank Percolation Systems

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Publisher :
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Causes and Prevention of Failure of Septic-tank Percolation Systems by : Percy Harold McGauhey

Download or read book Causes and Prevention of Failure of Septic-tank Percolation Systems written by Percy Harold McGauhey and published by . This book was released on 1964 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Percolation, Scaling, and Relaxation in Polymer Dielectrics

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Publisher : Springer Nature
ISBN 13 : 3031279417
Total Pages : 216 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Percolation, Scaling, and Relaxation in Polymer Dielectrics by : Maheswar Panda

Download or read book Percolation, Scaling, and Relaxation in Polymer Dielectrics written by Maheswar Panda and published by Springer Nature. This book was released on 2023-03-30 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a foundational understanding of polymer dielectrics based on percolative composites. It covers the microstructure and physical properties, such as dielectric, electrical, magnetic, and rheological properties, of polymer composites, as well as how these properties can be explained using various theoretical models and spectroscopy techniques, such as dielectric spectroscopy, impedance spectroscopy, and conductivity spectroscopy. The book also discusses non-percolative polymer composites and the suitability of polymer dielectrics for electrical energy storage in various devices. It is intended for graduate students and professionals in fields such as condensed matter physics, applied physics, statistical physics, materials science, polymer science and technology, chemistry, and engineering. It will be particularly useful for physicists, materials scientists, polymer scientists, chemists, engineers, and others interested in the physics and applications of percolative composites based on polymer matrix.

Percolation Theory Using Python

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Publisher : Springer Nature
ISBN 13 : 3031599004
Total Pages : 221 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Percolation Theory Using Python by : Anders Malthe-Sørenssen

Download or read book Percolation Theory Using Python written by Anders Malthe-Sørenssen and published by Springer Nature. This book was released on with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: