50 Years of First-Passage Percolation - Couverture souple

Auffinger, Antonio; Damron, Michael; Hanson, Jack

 
9781470441838: 50 Years of First-Passage Percolation
Couverture souple
ISBN 10 : 1470441837 ISBN 13 : 9781470441838
Editeur : 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Antonio Auffinger, Northwestern University, Evanston, IL.

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

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
American Mathematical Society
Date d'édition
2018
Langue
anglais
ISBN 10 
1470441837
ISBN 13 
9781470441838
Reliure
Broché
Nombre de pages
161
Coordonnées du fabricant
non disponible
Personne responsable
non disponible