Construction of diffusion processes on fractals, d-sets, and general metric measure spaces

Takashi Kumagai*, Karl Tlecodor Sturm

*この研究の対応する著者

研究成果: Article査読

26 被引用数 (Scopus)

抄録

We give a sufficient condition to construct non-trivial /j-symmetric diffusion processes on a locally compact separable metric measure space (A[,p,μ). These processes are associated with local regular Dirichlet forms which are obtained as continuous parts of P-limits for approximating non-local Dirichlet forms. For various fractals, we can use existing estimates to verify our assumptions. This shows that our general method of constructing diffusions can be applied to these fractals.

本文言語English
ページ(範囲)307-327
ページ数21
ジャーナルKyoto Journal of Mathematics
45
2
DOI
出版ステータスPublished - 2005
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

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