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024 7 $a10.1007/978-3-540-74798-7
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100   $a20100301d2008      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aProbability and Real Trees$b[electronic resource] $eÉcole d'Été de Probabilités de Saint-Flour XXXV-2005 /$fby Steven N. Evans
205   $a1st ed. 2008.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2008.
215   $a1 online resource (XI, 201 p.)
225 1 $aÉcole d'Été de Probabilités de Saint-Flour,$x0721-5363 ;$v1920
300   $aNotes from a series of ten lectures given at the Saint-Flour Probability Summer School, July 6-23, 2005.
311   $a3-540-74797-4 
320   $aIncludes bibliographical references (pages [177]-184) and index.
327   $aAround 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.
330   $aRandom trees and tree-valued stochastic processes are of particular importance in combinatorics, computer science, phylogenetics, and mathematical population genetics. Using the framework of abstract "tree-like" metric spaces (so-called real trees) and ideas from metric geometry such as the Gromov-Hausdorff distance, Evans and his collaborators have recently pioneered an approach to studying the asymptotic behaviour of such objects when the number of vertices goes to infinity. These notes survey the relevant mathematical background and present some selected applications of the theory.
410  0$aÉcole d'Été de Probabilités de Saint-Flour,$x0721-5363 ;$v1920
606   $aProbabilities
606   $aCombinatorics
606   $aGeometry
606   $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004
606   $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010
606   $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006
615  0$aProbabilities.
615  0$aCombinatorics.
615  0$aGeometry.
615 14$aProbability Theory and Stochastic Processes.
615 24$aCombinatorics.
615 24$aGeometry.
676   $a511.52
700   $aEvans$b Steven N$4aut$4http://id.loc.gov/vocabulary/relators/aut$0314671
712 12$aEcole d'e?te? de probabilite?s de Saint-Flour$d(35th :$f2005)
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466507103316
996   $aProbability and real trees$9718714
997   $aUNISA