Upper bounds for transition probabilities on graphs and isoperimetric inequalities

Details Upper bounds for transition probabilities on graphs and isoperimetric inequalities Upper bounds for transition probabilities on graphs and isoperimetric inequalities

2008-01-15

arxiv.org/abs/0801.2341v1

Markov Processes and Related Fields, 12,2006, 1,1-26

Mathematics

Probability

graphics are not included

Scientific paper

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.

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