50 Years of First-Passage Percolation

Language: English

Published by American Mathematical Society, US, 2018

1470441837 / 9781470441838

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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.

Seller Inventory # LU-9781470441838

Title
50 Years of First-Passage Percolation
Author
Jack Hanson, Antonio Auffinger, Michael Damron
Publisher
American Mathematical Society, US
Publication year
2018
Condition
New
Binding
Paperback
Language
English
ISBN 10
1470441837
ISBN 13
9781470441838
Item weight
320 grams

Rarewaves.com UK

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