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020 _a9783540747987
_9978-3-540-74798-7
024 7 _a10.1007/978-3-540-74798-7
_2doi
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aMAT029000
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072 7 _aPBT
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072 7 _aPBWL
_2thema
082 0 4 _a519.2
_223
100 1 _aEvans, Steven Neil.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aProbability and Real Trees
_h[electronic resource] :
_bÉcole d'Été de Probabilités de Saint-Flour XXXV - 2005 /
_cby Steven Neil Evans.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2008.
300 _aXI, 201 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aÉcole d'Été de Probabilités de Saint-Flour,
_x0721-5363 ;
_v1920
505 0 _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.
520 _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.
650 0 _aDistribution (Probability theory.
650 0 _aCombinatorics.
650 0 _aGeometry.
650 1 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aCombinatorics.
_0http://scigraph.springernature.com/things/product-market-codes/M29010
650 2 4 _aGeometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21006
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540843559
776 0 8 _iPrinted edition:
_z9783540747970
830 0 _aÉcole d'Été de Probabilités de Saint-Flour,
_x0721-5363 ;
_v1920
856 4 0 _uhttps://doi.org/10.1007/978-3-540-74798-7
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10674
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