000 | 02938nam a22005175i 4500 | ||
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001 | 978-3-540-74798-7 | ||
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_a9783540747987 _9978-3-540-74798-7 |
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_a10.1007/978-3-540-74798-7 _2doi |
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_a519.2 _223 |
100 | 1 |
_aEvans, Steven Neil. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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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. |
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300 |
_aXI, 201 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_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 |
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_iPrinted edition: _z9783540747970 |
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_aÉcole d'Été de Probabilités de Saint-Flour, _x0721-5363 ; _v1920 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-74798-7 |
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