Transition density estimates for diffusion processes on homogeneous random Sierpinski carpets

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概要

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• 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.

• 社団法人 日本数学会の論文

著者

• Zhou Xian

  Department Of Bioengineerins Southwest Jiaotons University

• Hambly Ben

  Department Of Mathematics University Of Bristol

• KUMAGAI Takashi

  Graduate School of Informatics Kyoto University

• KUSUOKA Shigeo

  Department of Mathematical Sciences University of Tokyo

• Zhou Xian

  Department Of Mathematics Beijing Normal University

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