 9347 Hattori K., Hattori T., Watanabe H.
 Asymptotically onedimensional diffusions on
the Sierpinski gasket and the abcgaskets
(102K, LaTeX)
Feb 26, 93

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Abstract. Diffusion processes on the Sierpinski gasket and
the abcgaskets are constructed as limits of random walks.
In terms of the associated renormalization group,
the present method uses the inverse trajectories which converge to
unstable fixed points corresponding to the random walks on
onedimensional chains.
In particular, nondegenerate fixed points are unnecessary for
the construction.
A limit theorem related to the discretetime
multitype nonstationary branching processes is applied.
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9347.tex