03424nam 22006735 450 99646650710331620200704045616.03-540-74798-210.1007/978-3-540-74798-7(CKB)1000000000437252(SSID)ssj0000319574(PQKBManifestationID)11230372(PQKBTitleCode)TC0000319574(PQKBWorkID)10338546(PQKB)10438772(DE-He213)978-3-540-74798-7(MiAaPQ)EBC3062839(MiAaPQ)EBC6284390(PPN)123735920(EXLCZ)99100000000043725220100301d2008 u| 0engurnn#008mamaatxtccrProbability and Real Trees[electronic resource] École d'Été de Probabilités de Saint-Flour XXXV-2005 /by Steven N. Evans1st ed. 2008.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2008.1 online resource (XI, 201 p.)École d'Été de Probabilités de Saint-Flour,0721-5363 ;1920Notes from a series of ten lectures given at the Saint-Flour Probability Summer School, July 6-23, 2005.3-540-74797-4 Includes bibliographical references (pages [177]-184) and index.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.École d'Été de Probabilités de Saint-Flour,0721-5363 ;1920ProbabilitiesCombinatoricsGeometryProbability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Combinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21006Probabilities.Combinatorics.Geometry.Probability Theory and Stochastic Processes.Combinatorics.Geometry.511.52Evans Steven Nauthttp://id.loc.gov/vocabulary/relators/aut314671Ecole d'été de probabilités de Saint-Flour(35th :2005)MiAaPQMiAaPQMiAaPQBOOK996466507103316Probability and real trees718714UNISA