Random walk on graphs with regular resistance and volume growth

Details Random walk on graphs with regular resistance and volume growth Random walk on graphs with regular resistance and volume growth

2006-08-24

arxiv.org/abs/math/0608594v1

Mathematics

Probability

Scientific paper

In this paper characterizations of graphs satisfying heat kernel estimates
for a wide class of space-time scaling functions are given. The equivalence of
the two-sided heat kernel estimate and the parabolic Harnack inequality is also
shown via the equivalence of the upper (lower) heat kernel estimate to the
parabolic mean value (and super mean value) inequality.

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