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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Wolfgang Woess
Title: Random walks on infinite graphs and groups
Additional book information: Cambridge Tracts in Mathematics, vol. 138, Cambridge University Press, 2000, xi+334 pp., ISBN 0-521-55292-3, $64.95$

References [Enhancements On Off] (What's this?)

P. Cartier, Fonctions harmoniques sur un arbre, Symp. Math. 9 (1972), 203-270. MR 0353467
M. -D. Choi, G. Elliott and N. Yui, Gauss polynomials and the rotation algebra, Invent. Math. 99 (1990), 225-246. MR 1031901
J. L. Doob, Discrete potential theory and boundaries, J. Math. Mech. 8 (1959), 433-458. MR 0107098
H. Kesten, Symmetric random walks on groups, Trans. A.M.S. 92 (1959), 336-354. MR 0109367
M. Kotani and T. Sunada, Albanese maps and off diagonal long time asymptotics for the heat kernel, Comm. Math. Phys. 209 (2000), 633-670. MR 1743611
P. Ney and F. Spitzer, The Martin boundary for random walk, Trans. Amer. Math. Soc. 121 (1966), 116-132. MR 0195151
F. Spitzer, Principles of Random Walk, D. Van Nostrand, Princeton, 1964. MR 0171290
N. Th. Varopoulos, L. Saloff-Coaste and T. Coulhon, Analysis and Geometry on Groups, Cambridge Tracts in Math. 100, Cambridge Univ. Press, Cambridge, 1992. MR 1218884
W. Woess, Random walks on infinite graphs and groups - a survey on selected topics, Bull. London Math. Soc. 26 (1994), 1-60. MR 1246471

Review Information:

Reviewer: Toshikazu Sunada
Affiliation: Tohoku University
Journal: Bull. Amer. Math. Soc. 39 (2002), 281-285
Published electronically: December 27, 2001
Review copyright: © Copyright 2001 American Mathematical Society