Hiroshi Takahashi

Geometric influence on the limiting behavior of diffusion processes in one-sided Brownian environments on disconnected fractal sets

We investigate diffusion processes on disconnected fractal sets in one-sided Brownian environments. On the real line, it is established that the process exhibits either diffusion or trapping, each occurring with probability $1/2$. In this study, we demonstrate that for fractal sets, this behavior is governed by the geo...