Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1920)
Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Random trees and tree-valued stochastic processes are of particular importance in combinatorics, computer science, phylogenetics, and mathematical population genetics. Using the framework of abstract "tree-like" metric spaces (so-called real trees) and ideas from metric geometry such as the Gromov-Hausdorff distance, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behaviour of such objects when the number of vertices goes to infinity. These notes survey the relevant mathematical background and present some selected applications of the theory.
Authors and Affiliations
About the author
Steve Evans received his undergraduate degree from Sydney University in Australia and his PhD from Cambridge University in the United Kingdom. His first position was in research and analysis at the Commonwealth Bank of Australia. This was followed by a post-doc at the University of Virginia. He has been a faculty member at the University of California at Berkeley since 1989. Evans has numerous publications in the general area of stochastic processes, with a particular emphasis on probability on algebraic and topological structures. He also works on aging and mortality, population genetics, and phylogenetics -- particularly the application of computational methods to historical linguistics. Evans is a recipient of the Rollo Davidson Prize, a Presidential Young Investigator Award, an Alfred P. Sloan Foundation Fellowship, and the G. de B. Robinson Prize of the Canadian Mathematical Society. He is a Fellow of the Institute of Mathematical Statistics and has held a research professorship from the Miller Institute for Basic Research in Science.
Bibliographic Information
Book Title: Probability and Real Trees
Book Subtitle: École d'Été de Probabilités de Saint-Flour XXXV-2005
Authors: Steven Neil Evans
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-74798-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-74797-0Published: 12 October 2007
eBook ISBN: 978-3-540-74798-7Published: 26 September 2007
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XI, 201
Topics: Probability Theory and Stochastic Processes, Combinatorics, Geometry