A Short Time Asymptotic Behavior of The Brownian Motion on Scale Irregular Sierpinski Gaskets

J. Math. Sci. Univ. Tokyo
Vol. 18 (2011), No. 1, Page 1--33.

Noda, Hideaki
A Short Time Asymptotic Behavior of The Brownian Motion on Scale Irregular Sierpinski Gaskets
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Abstract:
We study short time asymptotic estimates for the transition probability density of the Brownian motion on scale irregular Sierpinski gaskets which are spatially homogeneous but do not have any exact self-similarity.

Keywords: Scale irregular Sierpinski gasket, short time asymptotic behaviors, transition probability density.

Mathematics Subject Classification (2010): Primary 60F99, Secondary 60J60, 28A80.
Received: 2008-09-03