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

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 th...

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Bibliographic Details
Main Author: Evans, Steven Neil (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
Series:Lecture Notes in Mathematics, 1920
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary: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.
Physical Description:XI, 201 p. online resource.
ISBN:9783540747987
ISSN:0075-8434 ;