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Lower bounds for transition probabilities on graphs

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  • Telcs, András

Abstract

The paper presents two results. The first one provides separate conditions for the upper and lower estimates of the distribution of the time of exit from balls of a random walk on a weighted graph. The main result of the paper is that the lower estimate follows from the elliptic Harnack inequality. The second result is an off-diagonal lower bound for the transition probability of the random walk.

Suggested Citation

  • Telcs, András, 2007. "Lower bounds for transition probabilities on graphs," Stochastic Processes and their Applications, Elsevier, vol. 117(8), pages 1121-1136, August.
    • Handle: RePEc:eee:spapps:v:117:y:2007:i:8:p:1121-1136
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