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Probability and Real Trees: École d'Été de Probabilités de Saint-Flour XXXV - 2005

✍ Scribed by Steven Neil Evans (auth.)

Book ID
127425745
Publisher
Springer
Year
2008
Tongue
English
Weight
6 MB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540747982
ISSN
0075-8434

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Geometry

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