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Convergence of Brownian motions on metric measure spaces under Riemannian Curvature–Dimension conditions (2019)
Journal Article
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

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.