2 papers
math.PR2026
Mirror Langevin diffusions: Convergence rates and Markov chain approximations
Benjamin Capdeville, Young-Heon Kim, Soumik Pal
Given a strongly convex function , equip with a Riemannian metric given by the Hessian . This is a so-called Hessian manifold. Given a probability density …
math.MG2024
Isometric embedding of the n-point spaces into the space of spaces for
Benjamin Capdeville
In [The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces. Memoirs of the American Mathematical Society. American Mathematical Society, 202…