First Passage Percolation On The Square Lattice
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First Passage Percolation On The Square Lattice
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Author : R.T. Smythe
language : en
Publisher: Springer
Release Date : 1978-09-01
First Passage Percolation On The Square Lattice written by R.T. Smythe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-09-01 with Mathematics categories.
First Passage Percolation On The Square Lattice
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Author : R. T. Smythe
language : en
Publisher:
Release Date : 2014-01-15
First Passage Percolation On The Square Lattice written by R. T. Smythe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
First Passage Percolation On The Square Lattice
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Author : Robert Thomas Smythe
language : en
Publisher: Springer
Release Date : 1978
First Passage Percolation On The Square Lattice written by Robert Thomas Smythe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
First Passage Percolation On The Square Lattice
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Author : R.T. Smythe
language : en
Publisher: Springer
Release Date : 2006-11-15
First Passage Percolation On The Square Lattice written by R.T. Smythe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
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 Limit theorems (Probability theory) 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.
Empirical Measures Geodesic Lengths And A Variational Formula In First Passage Percolation
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Author : Erik Bates
language : en
Publisher: American Mathematical Society
Release Date : 2024-02-01
Empirical Measures Geodesic Lengths And A Variational Formula In First Passage Percolation written by Erik Bates and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-01 with Mathematics categories.
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First Passage Percolation On A Poisson Lattice
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Author : Erich J. Friedman
language : en
Publisher:
Release Date : 1991
First Passage Percolation On A Poisson Lattice written by Erich J. Friedman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Probability On Discrete Structures
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Author : Harry Kesten
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Probability On Discrete Structures written by Harry 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 2013-03-14 with Mathematics categories.
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.
Biological Growth And Spread
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Author : W. Jäger
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-12
Biological Growth And Spread written by W. Jäger 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 2013-03-12 with Science categories.
These Proceedings have been assembled from papers presented at the Conference on Models of Biological Growth and Spread, held at the German Cancer Research Centre Heidelberg and at the Institute of Applied Mathematics of the University of Heidelberg, July 16-21, 1979. The main theme of the conference was the mathematical representation of biolog ical populations with an underlying spatial structure. An important feature of such populations is that they and/or their individual com ponents may interact with each other. Such interactions may be due to external disturbances, internal regulatory factors or a combination of both. Many biological phenomena and processes including embryogenesis, cell growth, chemotaxis, cell adhesion, carcinogenesis, and the spread of an epidemic or of an advantageous gene can be studied in this con text. Thus, problems of particular importance in medicine (human and veterinary), agriculture, ecology, etc. may be taken into consideration and a deeper insight gained by utilizing (more) realistic mathematical models. Since the intrinsic biological mechanisms may differ considerably from each other, a great variety of mathematical approaches, theories and techniques is required. The aims of the conference were (i) To provide an overview of the most important biological aspects. (ii) To survey and analyse possible stochastic and deterministic approaches. (iii) To encourage new research by bringing together mathematicians interested in problems of a biological nature and scientists actively engaged in developing mathematical models in biology.
The Mathematics And Physics Of Disordered Media
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Author : B.D. Hughes
language : en
Publisher: Springer
Release Date : 2006-11-14
The Mathematics And Physics Of Disordered Media written by B.D. Hughes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Science categories.