Convergence of non-symmetric diffusion processes on RCD spaces

Suzuki, Kohei

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 (Mem Am Math Soc 251(11):1–161, 2017). 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.

Citation

Suzuki, K. (2018). Convergence of non-symmetric diffusion processes on RCD spaces. Calculus of Variations and Partial Differential Equations, 57(5), Article 120. https://doi.org/10.1007/s00526-018-1398-7

• Journal Article Type: Article
• Acceptance Date: Jun 15, 2018
• Online Publication Date: Jul 23, 2018
• Publication Date: 2018-10
• Deposit Date: Feb 4, 2024
• Journal: Calculus of Variations and Partial Differential Equations
• Print ISSN: 0944-2669
• Electronic ISSN: 1432-0835
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 57
• Issue: 5
• Article Number: 120
• DOI: https://doi.org/10.1007/s00526-018-1398-7
• Public URL: https://durham-repository.worktribe.com/output/2216996