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arXiv · 1709.09536

Convergence of Non-Symmetric Diffusion Processes on RCD spaces

Kohei Suzuki
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Abstract

We construct non-symmetric diffusion processes associated with Dirichlet forms consisting of uniformly elliptic forms and derivation operators with killing terms on RCD spaces by aid of non-smooth differential structures introduced by Gigli '16. After constructing diffusions, we investigate conservativeness and the weak convergence of the laws of diffusions in terms of a geometric convergence of the underling spaces and convergences of the corresponding coefficients.

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Kohei Suzuki. 2017-09-25. Convergence of Non-Symmetric Diffusion Processes on RCD spaces. https://doi.org/10.1007/s00526-018-1398-7

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