Convergence of Brownian motions on metric measure spaces under Riemannian Curvature–Dimension conditions

Suzuki, Kohei

Abstract

We show that the pointed measured Gromov convergence of the underlying spaces implies (or under some condition, is equivalent to) the weak convergence of Brownian motions under Riemannian Curvature-Dimension conditions.

Citation

Suzuki, K. (2019). Convergence of Brownian motions on metric measure spaces under Riemannian Curvature–Dimension conditions. Electronic Journal of Probability, 24, Article 102. https://doi.org/10.1214/19-ejp346

• Journal Article Type: Article
• Acceptance Date: Jul 23, 2019
• Online Publication Date: Sep 26, 2019
• Publication Date: 2019
• Deposit Date: Oct 20, 2024
• Journal: Electronic Journal of Probability
• Electronic ISSN: 1083-6489
• Publisher: Institute of Mathematical Statistics
• Peer Reviewed: Peer Reviewed
• Volume: 24
• Article Number: 102
• DOI: https://doi.org/10.1214/19-ejp346
• Public URL: https://durham-repository.worktribe.com/output/2977811