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Book Review
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Book Information
Author(s):
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,
$64.95,
ISBN 0-521-55292-3
References:
-
- 1.
- P. Cartier, Fonctions harmoniques sur un arbre, Symp. Math. 9 (1972), 203-270. MR 50:5950
- 2.
- M. -D. Choi, G. Elliott and N. Yui, Gauss polynomials and the rotation algebra, Invent. Math. 99 (1990), 225-246. MR 91b:46067
- 3.
- J. L. Doob, Discrete potential theory and boundaries, J. Math. Mech. 8 (1959), 433-458. MR 21:5825
- 4.
- H. Kesten, Symmetric random walks on groups, Trans. A.M.S. 92 (1959), 336-354. MR 22:253
- 5.
- 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 2001h:58036
- 6.
- P. Ney and F. Spitzer, The Martin boundary for random walk, Trans. Amer. Math. Soc. 121 (1966), 116-132. MR 33:3354
- 7.
- F. Spitzer, Principles of Random Walk, D. Van Nostrand, Princeton, 1964. MR 30:1521
- 8.
- 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 95f:43008
- 9.
- W. Woess, Random walks on infinite graphs and groups - a survey on selected topics, Bull. London Math. Soc. 26 (1994), 1-60. MR 94i:60081
Additional Information:
Reviewer(s):
Toshikazu
Sunada
Affiliation:
Tohoku University
Email:
sunada@math.tohoku.ac.jp
Review Information:
Journal:
Bull. Amer. Math. Soc.
39
(2002),
281-285.
MSC
(2000):
Primary 05C25, 31C20, 60J10, 60J50, 68F05
PII:
S 0273-0979(01)00935-1
Posted:
December 27, 2001
Copyright of article:
Copyright
2001,
American Mathematical Society
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