000 | 01982aam a2200205 4500 | ||
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008 | 170511b2017 xxu||||| |||| 00| 0 eng d | ||
020 | _a9781107160491 | ||
082 |
_a519.23 _bB6G2 |
||
100 |
_aBovier, Anton _9343662 |
||
245 |
_aGaussian processes on trees: from spin glasses to branching Brownian motion _cBovier, Anton |
||
260 |
_bCambridge university press _c2017 _aDelhi |
||
300 | _ax, 200 p. | ||
440 |
_aCambridge studies in advanced mathematics _9343663 |
||
504 | _aTable of Contents: 1.Extreme value theory for iid sequences 2.Extremal processes 3.Normal sequences 4.Spin glasses 5.Branching Brownian motion 6.Bramson's analysis of the F-KPP equation 7.The extremal process of BBM 8.Full extremal process 9.Variable speed BBM. | ||
520 | _aBranching Brownian motion (BBM) is a classical object in probability theory with deep connections to partial differential equations. This book highlights the connection to classical extreme value theory and to the theory of mean-field spin glasses in statistical mechanics. Starting with a concise review of classical extreme value statistics and a basic introduction to mean-field spin glasses, the author then focuses on branching Brownian motion. Here, the classical results of Bramson on the asymptotics of solutions of the F-KPP equation are reviewed in detail and applied to the recent construction of the extremal process of BBM. The extension of these results to branching Brownian motion with variable speed are then explained. As a self-contained exposition that is accessible to graduate students with some background in probability theory, this book makes a good introduction for anyone interested in accessing this exciting field of mathematics. https://www.goodreads.com/book/show/32971791-gaussian-processes-on-trees | ||
650 |
_aRandom variables _9343664 |
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650 |
_aGaussian processes _9343665 |
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650 |
_aBranching Brownian motion _9343666 |
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942 |
_2ddc _cBK |
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999 |
_c206344 _d206344 |