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Russell Lyons - Cambridge Series in Statistical and Probabilistic Mathematics: Series Number 42: Probability on Trees and Networks - 9781107160156 - V9781107160156
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Cambridge Series in Statistical and Probabilistic Mathematics: Series Number 42: Probability on Trees and Networks

€ 76.24
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Description for Cambridge Series in Statistical and Probabilistic Mathematics: Series Number 42: Probability on Trees and Networks Hardback. Consolidating over sixty years of research, this authoritative account of probability on networks is indispensable to anyone in the field. Series: Cambridge Series in Statistical and Probabilistic Mathematics. Num Pages: 600 pages, 78 b/w illus. 13 colour illus. 4 tables 864 exercises. BIC Classification: PBT. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 253 x 177 x 44. Weight in Grams: 1383.
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 ... Read more

Product Details

Publisher
Cambridge University Press
Format
Hardback
Publication date
2017
Series
Cambridge Series in Statistical and Probabilistic Mathematics
Condition
New
Number of Pages
720
Place of Publication
Cambridge, United Kingdom
ISBN
9781107160156
SKU
V9781107160156
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1

About Russell Lyons
Russell Lyons is James H. Rudy Professor of Mathematics at Indiana University, Bloomington. He obtained his PhD at the University of Michigan in 1983. He has written seminal papers concerning probability on trees and random spanning trees in networks. Lyons was a Sloan Foundation Fellow and has been an Invited Speaker at the International Congress of Mathematicians and the Joint ... Read more

Reviews for Cambridge Series in Statistical and Probabilistic Mathematics: Series Number 42: Probability on Trees and Networks
'This long-awaited work focuses on one of the most interesting and important parts of probability theory. Half a century ago, most work on models such as random walks, Ising, percolation and interacting particle systems concentrated on processes defined on the d-dimensional Euclidean lattice. In the intervening years, interest has broadened dramatically to include processes on more general graphs, with trees ... Read more

Goodreads reviews for Cambridge Series in Statistical and Probabilistic Mathematics: Series Number 42: Probability on Trees and Networks


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