On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees-Reference-Cited by-同舟云学术

On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees

Published:2007-08-25 Issue:11 Volume:23 Page:1949-1954
ISSN:1439-8516
Container-title:Acta Mathematica Sinica, English Series
language:en
Short-container-title:Acta Math Sinica

Author:

Chen Dayue,Zhang Fuxi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10114-007-0975-z.pdf

Reference6 articles.

1. Lyons, R., Pemantle, R., Peres, Y.: Ergodic theory on Galton–Watson trees: speed of random walk and dimension of harmonic measure. Ergodic Theory Dynamical Systems, 15, 593–619 (1995)

2. Grimmett, G. R., Kesten, H., Zhang, Y.: Random walk on the infinite cluster of the percolation model. Probab. Th. Rel. Fields, 96, 33–44 (1993)

3. Benjamini, I., Lyons, R., Schramm, O.: Percolation Perturbations in Potential Theory and Random Walks, in Random Walks and Discrete Potential Theory, Cambridge Univ. Press, 56–84, 1999

4. Virág, B.: Anchored expansion and random walk. Geom. Func. Anal., 10, 1588–1605 (2000)

5. Chen, D., Peres, Y.: Anchored expansion, percolation and speed, (with an appendix by Gaber Pete). Ann. of Probab., 32, 2978–2995 (2004)

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