Probability and Real Trees: Ecole d'Ete de Probabilites de Saint-Flour XXXV-2005

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Random trees and tree-valued stochastic processes are of particular importance in many fields. Using the framework of abstract tree-like metric spaces and ideas from metric geometry, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behavior of such objects when the number of vertices goes to infinity. This publication surveys the relevant mathematical background and present some selected applications of the theory.