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Intermediate Phase For The Contact Process On A Tree

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Intermediate Phase For The Contact Process On A Tree

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Author : Rich Durrett
language : en
Publisher:
Release Date : 1994

Intermediate Phase For The Contact Process On A Tree written by Rich Durrett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.

Stochastic Interacting Systems Contact Voter And Exclusion Processes

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Author : Thomas M. Liggett
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Stochastic Interacting Systems Contact Voter And Exclusion Processes written by Thomas M. Liggett 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.

Interactive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T. Liggett, Interacting Particle System, ISBN 3-540-96069) that treated the subject as it was at that time. The present book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. In so doing, many of the most useful techniques in the field are explained and developed, so that they can be applied to other models and in other contexts. Extensive Notes and References sections discuss other work on these and related models. Readers are expected to be familiar with analysis and probability at the graduate level, but it is not assumed that they have mastered the material in the 1985 book. This book is intended for graduate students and researchers in Probability Theory, and in related areas of Mathematics, Biology and Physics.

Stochastic Interacting Systems In Life And Social Sciences

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Author : Nicolas Lanchier
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-01

Stochastic Interacting Systems In Life And Social Sciences written by Nicolas Lanchier and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-01 with Mathematics categories.

This volume provides an overview of two of the most important examples of interacting particle systems, the contact process, and the voter model, as well as their many variants introduced in the past 50 years. These stochastic processes are organized by domains of application (epidemiology, population dynamics, ecology, genetics, sociology, econophysics, game theory) along with a flavor of the mathematical techniques developed for their analysis.

The Contact Process On Graphs

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Author : Márcia Salzano
language : en
Publisher:
Release Date : 2003

The Contact Process On Graphs written by Márcia Salzano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Graphic methods categories.

Classical And Spatial Stochastic Processes

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Author : Rinaldo B. Schinazi
language : en
Publisher: Springer
Release Date : 2014-09-27

Classical And Spatial Stochastic Processes written by Rinaldo B. Schinazi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-27 with Mathematics categories.

The revised and expanded edition of this textbook presents the concepts and applications of random processes with the same illuminating simplicity as its first edition, but with the notable addition of substantial modern material on biological modeling. While still treating many important problems in fields such as engineering and mathematical physics, the book also focuses on the highly relevant topics of cancerous mutations, influenza evolution, drug resistance, and immune response. The models used elegantly apply various classical stochastic models presented earlier in the text, and exercises are included throughout to reinforce essential concepts. The second edition of Classical and Spatial Stochastic Processes is suitable as a textbook for courses in stochastic processes at the advanced-undergraduate and graduate levels, or as a self-study resource for researchers and practitioners in mathematics, engineering, physics, and mathematical biology. Reviews of the first edition: An appetizing textbook for a first course in stochastic processes. It guides the reader in a very clever manner from classical ideas to some of the most interesting modern results. ... All essential facts are presented with clear proofs, illustrated by beautiful examples. ... The book is well organized, has informative chapter summaries, and presents interesting exercises. The clear proofs are concentrated at the ends of the chapters making it easy to find the results. The style is a good balance of mathematical rigorosity and user-friendly explanation. —Biometric Journal This small book is well-written and well-organized. ... Only simple results are treated ... but at the same time many ideas needed for more complicated cases are hidden and in fact very close. The second part is a really elementary introduction to the area of spatial processes. ... All sections are easily readable and it is rather tentative for the reviewer to learn them more deeply by organizing a course based on this book. The reader can be really surprised seeing how simple the lectures on these complicated topics can be. At the same time such important questions as phase transitions and their properties for some models and the estimates for certain critical values are discussed rigorously. ... This is indeed a first course on stochastic processes and also a masterful introduction to some modern chapters of the theory. —Zentralblatt Math

Perplexing Problems In Probability

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Author : Maury Bramson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Perplexing Problems In Probability written by Maury Bramson 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 2012-12-06 with Mathematics categories.

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.

The Economy As An Evolving Complex System Iii

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Author : Lawrence E. Blume
language : en
Publisher: Oxford University Press
Release Date : 2006

The Economy As An Evolving Complex System Iii written by Lawrence E. Blume and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Business & Economics categories.

Derived from the 2001 Santa Fe Institute Conference, "The Economy as an Evolving Complex System III" addresses a wide variety of issues in the fields of economics and complexity, accessing eclectic techniques from many disciplines, provided that they shed light on the economic problem. The subject, a perennial centerpiece of the SFI program of studies, has gained a wide range of followers for its methods of employing empirical evidence in the development of analytical economic theories.