50 Years of First-Passage Percolation (University Lecture Series) - Softcover

Antonio Auffinger (author)|Michael Damron (author)|Jack Hanson (author)

Softcover

ISBN 10: 1470441837 ISBN 13: 9781470441838

Publisher: American Mathematical Society, 2018

Synopsis

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.

About this title

About the Author

Antonio Auffinger, Northwestern University, Evanston, IL.

Michael Damron, Georgia Institute of Technology, Atlanta, GA.

Jack Hanson, The City College of New York, NY.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2018
• Language: English
• ISBN 10: 1470441837
• ISBN 13: 9781470441838
• Binding: Paperback
• Number of pages: 161