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

Auffinger, Antonio; Damron, Michael; Hanson, Jack

 
9781470441838: 50 Years of First-Passage Percolation (University Lecture Series)
Tapa blanda
ISBN 10: 1470441837 ISBN 13: 9781470441838
Editorial: American Mathematical Society, 2018

Sinopsis

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.

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Acerca del autor

Antonio Auffinger, Northwestern University, Evanston, IL.

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

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2018
Idioma
Inglés
ISBN 10 
1470441837
ISBN 13 
9781470441838
Encuadernación
Tapa blanda
Número de páginas
161
Contacto del fabricante
no disponible
Persona responsable
no disponible