Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps

Details Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps Parabolic Harnack inequality and heat kernel estimates for random walks with long range jumps

2007-02-08

arxiv.org/abs/math/0702221v1

Mathematics

Probability

Scientific paper

We investigate the relationships between the parabolic Harnack inequality,
heat kernel estimates, some geometric conditions, and some analytic conditions
for random walks with long range jumps. Unlike the case of diffusion processes,
the parabolic Harnack inequality does not, in general, imply the corresponding
heat kernel estimates.

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