The volume and time comparison principle and transition probability estimates for random walks
2003 ◽
Vol DMTCS Proceedings vol. AC,...
(Proceedings)
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Keyword(s):
The Mean
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International audience This paper presents necessary and sufficient conditions for on- and off-diagonal transition probability estimates for random walks on weighted graphs. On the integer lattice and on may fractal type graphs both the volume of a ball and the mean exit time from a ball are independent of the center, uniform in space. Here the upper estimate is given without such restriction and two-sided estimate is given if the mean exit time is independent of the center but the volume is not.
2007 ◽
Vol 74
(3)
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pp. 965-980
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1989 ◽
Vol 29
(1)
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pp. 1-8
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1995 ◽
Vol 75
(2)
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pp. 189-192
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Keyword(s):
1993 ◽
Vol 30
(03)
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pp. 602-615
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Keyword(s):
2001 ◽
Vol Vol. 4 no. 2
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1986 ◽
Vol 18
(04)
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pp. 865-879
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