Upper Bounds for Transition Probabilities on Graphs and Isoperimetric Inequalities
A. Telcs
2006, v.12, Issue 1, 1-26
ABSTRACT
In this paper necessary and sufficient conditions are presented for heat kernel upper bounds for random walks on weighted graphs. Several equivalent conditions are given in the form of isoperimetric inequalities.
Keywords: isoperimetric inequalities,random walks,heat kernelestimates
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