Format:
Online-Ressource (digital)
Edition:
Springer eBook Collection. Mathematics and Statistics
ISBN:
9783540747987
Series Statement:
Lecture Notes in Mathematics 1920
Content:
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.
Content:
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.
Additional Edition:
ISBN 9783540747970
Additional Edition:
Buchausg. u.d.T. Evans, Steven N., 1960 - Probability and real trees Berlin : Springer, 2008 ISBN 3540747974
Additional Edition:
ISBN 9783540747970
Language:
English
Subjects:
Mathematics
Keywords:
Stochastischer Prozess
;
Baum
;
Markov-Prozess
;
Metrischer Raum
DOI:
10.1007/978-3-540-74798-7
URL:
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