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＜電子ブック＞
Probability and Real Trees : École d'Été de Probabilités de Saint-Flour XXXV-2005 / by Steven N. Evans
(École d'Été de Probabilités de Saint-Flour ; 1920)

版	1st ed. 2008.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2008
本文言語	英語
大きさ	XI, 201 p : online resource
著者標目	*Evans, Steven N author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Discrete mathematics LCSH:Geometry FREE:Probability Theory FREE:Discrete Mathematics FREE:Geometry
一般注記	Around the Continuum Random Tree -- R-Trees and 0-Hyperbolic Spaces -- Hausdorff and Gromov–Hausdorff Distance -- Root Growth with Re-Grafting -- The Wild Chain and other Bipartite Chains -- Diffusions on a R-Tree without Leaves: Snakes and Spiders -- R–Trees from Coalescing Particle Systems -- Subtree Prune and Re-Graft 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 HTTP:URL=https://doi.org/10.1007/978-3-540-74798-7

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