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001 | 978-3-319-25372-5 | ||
003 | DE-He213 | ||
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007 | cr nn 008mamaa | ||
008 | 160204s2015 gw | s |||| 0|eng d | ||
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_a9783319253725 _9978-3-319-25372-5 |
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024 | 7 |
_a10.1007/978-3-319-25372-5 _2doi |
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050 | 4 | _aQA273.A1-274.9 | |
050 | 4 | _aQA274-274.9 | |
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_aPBT _2bicssc |
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_aPBWL _2thema |
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_a519.2 _223 |
100 | 1 |
_aShi, Zhan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aBranching Random Walks _h[electronic resource] : _bÉcole d'Été de Probabilités de Saint-Flour XLII – 2012 / _cby Zhan Shi. |
250 | _a1st ed. 2015. | ||
264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2015. |
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300 |
_aX, 133 p. 8 illus., 6 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aÉcole d'Été de Probabilités de Saint-Flour, _x0721-5363 ; _v2151 |
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505 | 0 | _aI Introduction -- II Galton–Watson trees -- III Branching random walks and martingales -- IV The spinal decomposition theorem -- V Applications of the spinal decomposition theorem -- VI Branching random walks with selection -- VII Biased random walks on Galton–Watson trees -- A Sums of i.i.d. random variables -- References. | |
520 | _aProviding an elementary introduction to branching random walks, the main focus of these lecture notes is on the asymptotic properties of one-dimensional discrete-time supercritical branching random walks, and in particular, on extreme positions in each generation, as well as the evolution of these positions over time. Starting with the simple case of Galton-Watson trees, the text primarily concentrates on exploiting, in various contexts, the spinal structure of branching random walks. The notes end with some applications to biased random walks on trees. . | ||
650 | 0 | _aDistribution (Probability theory. | |
650 | 1 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783319253718 |
776 | 0 | 8 |
_iPrinted edition: _z9783319253732 |
830 | 0 |
_aÉcole d'Été de Probabilités de Saint-Flour, _x0721-5363 ; _v2151 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-25372-5 |
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