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 Electronic Journal of Probability > Vol. 6 (2001) > Paper 22 open journal systems 


Local Sub-Gaussian Estimates on Graphs:
The Strongly Recurrent Case

András Telcs, IMC


Abstract
This paper proves upper and lower off-diagonal, sub-Gaussian transition probabilities estimates for strongly recurrent random walks under sufficient and necessary conditions. Several equivalent conditions are given showing their particular role and influence on the connection between the sub-Gaussian estimates, parabolic and elliptic Harnack inequality.


Full text: PDF

Pages: 1-33

Published on: May 25, 2001
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Electronic Journal of Probability. ISSN: 1083-6489