- 93-47 Hattori K., Hattori T., Watanabe H.
- Asymptotically one-dimensional diffusions on
the Sierpinski gasket and the abc-gaskets
Feb 26, 93
(auto. generated ps),
of related papers
Abstract. Diffusion processes on the Sierpinski gasket and
the abc-gaskets 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
In particular, non-degenerate fixed points are unnecessary for
A limit theorem related to the discrete-time
multi-type non-stationary branching processes is applied.