國立虎尾科技大學 |

Probability on trees and networks /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Probability on trees and networks // Russell Lyons, Indiana University, Bloomington, Yuval Peres, Microsoft Research, Redmond, Washington.
作者:	Lyons, Russell,
其他作者:	Peres, Y.
面頁冊數:	1 online resource (xv, 698 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 31 Jan 2017).
標題:	Trees (Graph theory) -
電子資源:	https://doi.org/10.1017/9781316672815
ISBN:	9781316672815 (ebook)

Probability on trees and networks /
Lyons, Russell,

Probability on trees and networks /Russell Lyons, Indiana University, Bloomington, Yuval Peres, Microsoft Research, Redmond, Washington. - 1 online resource (xv, 698 pages) :digital, PDF file(s). - Cambridge series in statistical and probabilistic mathematics ;42. - Cambridge series on statistical and probabilistic mathematics ;32..

Title from publisher's bibliographic system (viewed on 31 Jan 2017).

Starting 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.

ISBN: 9781316672815 (ebook)Subjects--Topical Terms:

527866
Trees (Graph theory)

LC Class. No.: QA274 / .L956 2016

Dewey Class. No.: 511/.52

Probability on trees and networks /
LDR:01908nam a22002778i 4500 001 1123680
003 UkCbUP
005 20170202143009.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2016||||nyu o ||1 0|eng|d
020 $a 9781316672815 (ebook)
020 $z 9781107160156 (hardback)
035 $a CR9781316672815
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA274 $b .L956 2016
082 0 0 $a 511/.52 $2 23
100 1 $a Lyons, Russell, $e author. $3 1440763
245 1 0 $a Probability on trees and networks / $c Russell Lyons, Indiana University, Bloomington, Yuval Peres, Microsoft Research, Redmond, Washington.
264 1 $a New York : $b Cambridge University Press, $c 2016.
300 $a 1 online resource (xv, 698 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge series in statistical and probabilistic mathematics ; $v 42
500 $a Title from publisher's bibliographic system (viewed on 31 Jan 2017).
520 $a Starting 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 $a Trees (Graph theory) $3 527866
650 0 $a Stochastic processes. $3 528256
700 1 $a Peres, Y. $q (Yuval), $e author. $3 1440764
830 0 $a Cambridge series on statistical and probabilistic mathematics ; $v 32. $3 1133567
856 4 0 $u https://doi.org/10.1017/9781316672815