Transition density estimates for diffusion processes on homogeneous random sierpinski carpets

Ben M. Hambly, Takashi Kumagai, Shigeo Kusuoka, Xian Yin Zhou

研究成果: Article査読

22 被引用数 (Scopus)

抄録

We consider homogeneous random Sierpinski carpets, a class of infinitely ramified random fractals which have spatial symmetry but which do not have exact self-similarity. For a fixed environment we construct “natural” diffusion processes on the fractal and obtain upper and lower estimates of the transition density for the process that are up to constants best possible. By considering the random case, when the environment is stationary and ergodic, we deduce estimates of Aronson type.

本文言語English
ページ(範囲)373-408
ページ数36
ジャーナルJournal of the Mathematical Society of Japan
52
2
DOI
出版ステータスPublished - 2000
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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