Random walks on graphical Sierpinski carpets (0)
by
Martin T. Barlow
,
Richard F. Bass
| Citations: | 17 - 3 self |
BibTeX
@MISC{Barlow_randomwalks,
author = {Martin T. Barlow and Richard F. Bass},
title = {Random walks on graphical Sierpinski carpets},
year = {}
}
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Abstract
We consider random walks on a class of graphs derived from Sierpinski carpets. We obtain upper and lower bounds (which are nonGaussian) on the transition probabilities which are, up to constants, the best possible. We also extend some classical Sobolev and Poincare inequalities to this setting.
