Probability and real trees : École d'Été de Probabilités de Saint-Flour XXXV-2005 / Steven N. Evans.

"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...

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Bibliographic Details
Main Author: Evans, Steven N. (Author)
Corporate Author: Ecole d'été de probabilités de Saint-Flour
Format: Ebook
Language:English
Published: Berlin ; New York : Springer, [2008]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1920.
Subjects:
Online Access:Springer eBooks
Contributor biographical information
Table of Contents:
  • Introduction
  • Around the continuum random tree
  • R-trees and O-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
  • Summary of Dirichlet form theory
  • Some fractal notions.
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