ENGLISH

Probability and Real Trees: Ecole D'Ete de Probabilites de Saint-Flour XXXV-2005

By Evans S. N.

Book information

Year
2007
Language
english
Format
RAR
Filesize
11 MB (11179691 bytes)
Pages
193\0
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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.

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