Some problems related to the transition density u(t,x) of the diffusion on the Sierpinski gasket are considered, based on recent rigorous results and detailed numerical calculations. The main contents are an extension of Flory's formula for the end-to-end distance exponent of self-avoiding walks on the fractal spaces, and evidence of the oscillatory behavior of u(t,x) on the Sierpinski gasket.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics