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50 Years of First-Passage Percolation, Antonio Auffinger, Michael Damron, Jack Hanson


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Автор: Antonio Auffinger, Michael Damron, Jack Hanson
Название:  50 Years of First-Passage Percolation
ISBN: 9781470441838
Издательство: Mare Nostrum (Eurospan)
Классификация:


ISBN-10: 1470441837
Обложка/Формат: Paperback
Страницы: 161
Вес: 1.83 кг.
Дата издания: 30.01.2018
Серия: University lecture series
Язык: English
Размер: 254 x 178
Читательская аудитория: Professional and scholarly
Ключевые слова: Probability & statistics,Applied mathematics,Mathematical physics
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Поставляется из: Англии
Описание: 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.
Дополнительное описание: Applied mathematics|Probability and statistics|Mathematical physics


Percolation

Автор: Grimmett Geoffrey R.
Название: Percolation
ISBN: 3642084427 ISBN-13(EAN): 9783642084423
Издательство: Springer
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Цена: 121110.00 T
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Описание: 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.

Topics in Percolative and Disordered Systems

Автор: Alejandro F. Ram?rez; G?rard Ben Arous; Pablo A. F
Название: Topics in Percolative and Disordered Systems
ISBN: 1493903381 ISBN-13(EAN): 9781493903382
Издательство: Springer
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Цена: 139750.00 T
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Описание: Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), random walks in random environment and percolative systems.

Topics in Percolative and Disordered Systems

Автор: Alejandro F. Ram?rez; G?rard Ben Arous; Pablo A. F
Название: Topics in Percolative and Disordered Systems
ISBN: 1493944770 ISBN-13(EAN): 9781493944774
Издательство: Springer
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Цена: 102480.00 T
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Описание: Topics include developments based on breakthroughs in the mathematical understanding of phenomena describing systems in highly inhomogeneous and disordered media, including the KPZ universality class (describing the evolution of interfaces in two dimensions), random walks in random environment and percolative systems.

Noise Sensitivity of Boolean Functions and Percolation

Автор: Garban
Название: Noise Sensitivity of Boolean Functions and Percolation
ISBN: 1107432553 ISBN-13(EAN): 9781107432550
Издательство: Cambridge Academ
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Цена: 40130.00 T
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Описание: This account of the new and exciting area of noise sensitivity of Boolean functions - in particular applied to critical percolation - is designed for graduate students and researchers in probability theory, discrete mathematics, and theoretical computer science. It assumes a basic background in probability theory and integration theory. Each chapter ends with exercises.

Explosive Percolation in Random Networks

Автор: Wei Chen
Название: Explosive Percolation in Random Networks
ISBN: 3662437384 ISBN-13(EAN): 9783662437384
Издательство: Springer
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Цена: 102480.00 T
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Описание: This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions.

Explosive Percolation in Random Networks

Автор: Wei Chen
Название: Explosive Percolation in Random Networks
ISBN: 3662515393 ISBN-13(EAN): 9783662515396
Издательство: Springer
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Цена: 74530.00 T
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Описание: This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions.

Quantum and Semi-classical Percolation and Breakdown in Disordered Solids

Автор: Asok K. Sen; Kamal K. Bardhan; Bikas K. Chakrabart
Название: Quantum and Semi-classical Percolation and Breakdown in Disordered Solids
ISBN: 3642099114 ISBN-13(EAN): 9783642099113
Издательство: Springer
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Цена: 87060.00 T
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Описание: This book seeks to connect theoretical and experimental advances in quantum percolation methods applied to breakdown phenomena in composite materials. The final chapter explores the application of these methods to quantum computing and communication.

Percolation Theory and Ergodic Theory of Infinite Particle Systems

Автор: Harry Kesten
Название: Percolation Theory and Ergodic Theory of Infinite Particle Systems
ISBN: 1461387361 ISBN-13(EAN): 9781461387367
Издательство: Springer
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Цена: 46570.00 T
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Percolation Theory for Flow in Porous Media

Автор: Allen Hunt; Robert Ewing; Behzad Ghanbarian
Название: Percolation Theory for Flow in Porous Media
ISBN: 3319037706 ISBN-13(EAN): 9783319037707
Издательство: Springer
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Цена: 65210.00 T
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Описание: This book introduces a new approach to compute basic transport properties of porous media, such as electrical and hydraulic conductivity, air permeability and diffusion. It includes a tutorial on percolation theory as well as end of chapter problems.


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