50 Years of First-Passage Percolation Paperback / softback
by Antonio Auffinger, Michael Damron, Jack Hanson
Part of the University Lecture Series series
Paperback / softback
Description
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.
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:161 pages
- Publisher:American Mathematical Society
- Publication Date:30/01/2018
- Category:
- ISBN:9781470441838
Other Formats
- PDF from £39.60
Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:161 pages
- Publisher:American Mathematical Society
- Publication Date:30/01/2018
- Category:
- ISBN:9781470441838
