Convergence of Brownian Motions on Metric Measure Spaces Under Riemannian Curvature-Dimension Conditions

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 (RCD) conditions.

39 pages, 3 figures. Final version. To appear in EJP. Theorem 1.4 has been modified with the time interval [ε, \infty]

References in corpus (1)

• Convergence of Non-Symmetric Diffusion Processes on RCD spaces

Cited by in corpus (1)

• Convergence of Non-Symmetric Diffusion Processes on RCD spaces