000			02201nam a22003618i 4500
001			CR9781316672815
003			UkCbUP
005			20240916195942.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			151209s2016||||nyu o ||1 0|eng|d
020			_a9781316672815 (ebook)
020			_z9781107160156 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA274 _b.L956 2016
082	0	0	_a511/.52 _223
100	1		_aLyons, Russell, _eauthor.
245	1	0	_aProbability on trees and networks / _cRussell Lyons, Indiana University, Bloomington, Yuval Peres, Microsoft Research, Redmond, Washington.
264		1	_aNew York : _bCambridge University Press, _c2016.
300			_a1 online resource (xv, 698 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge series in statistical and probabilistic mathematics ; _v42
500			_aTitle from publisher's bibliographic system (viewed on 31 Jan 2017).
520			_aStarting around the late 1950s, several research communities began relating the geometry of graphs to stochastic processes on these graphs. This book, twenty years in the making, ties together research in the field, encompassing work on percolation, isoperimetric inequalities, eigenvalues, transition probabilities, and random walks. Written by two leading researchers, the text emphasizes intuition, while giving complete proofs and more than 850 exercises. Many recent developments, in which the authors have played a leading role, are discussed, including percolation on trees and Cayley graphs, uniform spanning forests, the mass-transport technique, and connections on random walks on graphs to embedding in Hilbert space. This state-of-the-art account of probability on networks will be indispensable for graduate students and researchers alike.
650		0	_aStochastic processes.
650		0	_aTrees (Graph theory)
700	1		_aPeres, Y. _q(Yuval), _eauthor.
830		0	_aCambridge series on statistical and probabilistic mathematics ; _v42.
856	4	0	_uhttps://doi.org/10.1017/9781316672815
942			_2ddc _cEB
999			_c9300 _d9300