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math.PR2020★ 4 cited
Approximation of Riemannian measures by Stein's method
James Thompson
In this article, we present the theoretical basis for an approach to Stein's method for probability distributions on Riemannian manifolds. Using a semigroup representation for the…
math.PR2019
Exponential integrability and exit times of diffusions on sub-Riemannian and metric measure spaces
Anton Thalmaier, James Thompson
In this article we derive moment estimates, exponential integrability, concentration inequalities and exit times estimates for canonical diffusions in two settings each beyond the…
math.PR2017★ 2 cited
Functional inequalities on manifolds with non-convex boundary
Li-Juan Cheng, Anton Thalmaier, James Thompson
In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalitie…