000 02258nam a2200361 i 4500
001 CR9781316675779
003 UkCbUP
005 20240909191257.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 151210s2017||||enk o ||1 0|eng|d
020 _a9781316675779 (ebook)
020 _z9781107160491 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA274.4
_b.B68 2017
082 0 0 _a519.2/3
_223
100 1 _aBovier, Anton,
_d1957-
_eauthor.
245 1 0 _aGaussian processes on trees :
_bfrom spin glasses to branching Brownian motion /
_cAnton Bovier, University of Bonn, Germany.
264 1 _aCambridge :
_bCambridge University Press,
_c2017.
300 _a1 online resource (x, 200 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v163
500 _aTitle from publisher's bibliographic system (viewed on 02 Dec 2016).
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.
650 0 _aGaussian processes.
650 0 _aRandom variables.
776 0 8 _iPrint version:
_z9781107160491
830 0 _aCambridge studies in advanced mathematics ;
_v163.
856 4 0 _uhttps://doi.org/10.1017/9781316675779
942 _2ddc
_cEB
999 _c8848
_d8848