Construction of diffusion processes on fractals, d-sets, and general metric measure spaces
نویسنده
چکیده
We give a sufficient condition to construct non-trivial μ-symmetric diffusion processes on a locally compact metric measure space (M,ρ, μ). These processes are associated with local regular Dirichlet forms which are obtained as continuous parts of Γ-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. 2000 MSC: Primary 60J60; Secondary 49Q20; 60J35
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