Bulletin of the American Mathematical Society

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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, $64.95$

1.

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M. -D. Choi, G. Elliott and N. Yui, Gauss polynomials and the rotation algebra, Invent. Math. 99 (1990), 225-246. MR 1031901

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J. L. Doob, Discrete potential theory and boundaries, J. Math. Mech. 8 (1959), 433-458. MR 0107098

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H. Kesten, Symmetric random walks on groups, Trans. A.M.S. 92 (1959), 336-354. MR 0109367

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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

6.

P. Ney and F. Spitzer, The Martin boundary for random walk, Trans. Amer. Math. Soc. 121 (1966), 116-132. MR 0195151

7.

F. Spitzer, Principles of Random Walk, D. Van Nostrand, Princeton, 1964. MR 0171290

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 1218884

9.

W. Woess, Random walks on infinite graphs and groups - a survey on selected topics, Bull. London Math. Soc. 26 (1994), 1-60. MR 1246471

1.

P. Cartier, Fonctions harmoniques sur un arbre, Symp. Math. 9 (1972), 203-270. MR 0353467

2.

M. -D. Choi, G. Elliott and N. Yui, Gauss polynomials and the rotation algebra, Invent. Math. 99 (1990), 225-246. MR 1031901

3.

J. L. Doob, Discrete potential theory and boundaries, J. Math. Mech. 8 (1959), 433-458. MR 0107098

4.

H. Kesten, Symmetric random walks on groups, Trans. A.M.S. 92 (1959), 336-354. MR 0109367

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 1743611

6.

P. Ney and F. Spitzer, The Martin boundary for random walk, Trans. Amer. Math. Soc. 121 (1966), 116-132. MR 0195151

7.

F. Spitzer, Principles of Random Walk, D. Van Nostrand, Princeton, 1964. MR 0171290

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 1218884

9.

W. Woess, Random walks on infinite graphs and groups - a survey on selected topics, Bull. London Math. Soc. 26 (1994), 1-60. MR 1246471