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The volume and time comparison principle and transition probability estimates for random walks
Abstract : 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.
Keywords :
random walks
heat kernel estimates
Cited literature [22 references]
https://hal.inria.fr/hal-01183929
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Submitted on : Wednesday, August 12, 2015 - 9:07:19 AM
Last modification on : Thursday, May 11, 2017 - 1:03:07 AM
Long-term archiving on: : Friday, November 13, 2015 - 11:37:33 AM
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Wednesday, August 12, 2015 - 9:07:19 AM
Last modification on : Thursday, May 11, 2017 - 1:03:07 AM
Long-term archiving on: : Friday, November 13, 2015 - 11:37:33 AM
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dmAC0128.pdf
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