Probability and real trees
著者
書誌事項
Probability and real trees
（Lecture notes in mathematics, 1920 . École d'été de probabilités de Saint-Flour ; 35-2005）
Springer, c2008
- タイトル別名
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Probability and real trees, St. Flour 2005
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注記
Includes bibliographical references (p. [177]-184) and index
内容説明・目次
内容説明
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.
目次
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.
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