Probability and real trees: Ecole d'été de probabilités de Saint-Flour XXXV-2005 / Steven N. Evans

Collectivité principale: école d'été de probabilités de Saint-Flour, 35, Saint-Flour (2005) Co-auteur: Evans, Steven Neil (1960-) - AuteurType de document: CongrèsCollection: Lecture notes in mathematics, école d'été de probabilités de Saint-Flour ; 1920Langue: anglaisPays: AllemagneÉditeur: Berlin : Springer, 2008Description: 1 vol. (XI-193 p.) : ill. ; 24 cm ISBN: 9783540747970 ; br. ISSN: 0075-8434Résumé: 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. (Source : 4ème de couverture).Bibliographie: Bibliogr. p. 177-184. Index. Sujets MSC: 60B10 Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Convergence of probability measures
60B11 Probability theory and stochastic processes -- Probability theory on algebraic and topological structures -- Probability theory on linear topological spaces
60G17 Probability theory and stochastic processes -- Stochastic processes -- Sample path properties
60J65 Probability theory and stochastic processes -- Markov processes -- Brownian motion
60J80 Probability theory and stochastic processes -- Markov processes -- Branching processes (Galton-Watson, birth-and-death, etc.)
28C10 Measure and integration -- Set functions and measures on spaces with additional structure -- Set functions and measures on topological groups or semigroups, Haar measures, invariant measures
En-ligne: Springerlink
Location Call Number Status Date Due
Salle S 07894-01 / Ecole STF (Browse Shelf) Available

Bibliogr. p. 177-184. Index

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. (Source : 4ème de couverture)

There are no comments for this item.

Log in to your account to post a comment.
Languages: English | Français | |