Probability and real trees : Ecole d'été de probabilités de Saint-Flour XXXV-2005 / Steven N. Evans
Type de document : CongrèsCollection : Lecture notes in mathematics, 1920Langue : anglais.Pays: Allemagne.Éditeur : Berlin, New York : Springer, 2008Description : 1 vol. (XI-193 p.) : ill. ; 24 cmISBN: 9783540747970.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 177-184. Index.Sujet MSC : 60G17, Probability theory and stochastic processes, Sample path properties60B10, Probability theory on algebraic and topological structures, Convergence of probability measures
60B11, Probability theory on algebraic and topological structures, Probability theory on linear topological spaces
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 measuresEn-ligne : Springerlink
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CMI Salle 1 | Ecole STF (Browse shelf(Opens below)) | Available | 07894-01 |
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)
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