000			01913 a2200265 4500
003			NISER
005			20260113121058.0
008			260113b |||||||| |||| 00| 0 hin d
020			_a9781107160156 _qHardback
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	4	_a519.21 _bLYO-P
100	1		_aLyons, Russell
245	1	0	_aProbability on trees and networks
260			_aNew York, NY : _bCambridge University Press, _c2016.
300			_axv, 699 page : _billustrations (some color) ; _c26 cm.
490			_aCambridge series in statistical and probabilistic mathematics ; _v42
504			_aIncludes bibliographical references (pages (648-686) and index.
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, Yuval
856	4	1	_3Table of contents _uhttps://assets.cambridge.org/97811071/60156/frontmatter/9781107160156_frontmatter.pdf
856	4	1	_3Reviews _uhttps://www.goodreads.com/book/show/57573330-probability-on-trees-and-networks?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c36746 _d36746