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math.PR2025
A Cheeger-type inequality for the drift Laplacian with Wentzell-type boundary condition
Marie Bormann
We prove lower bounds for the first non-trivial eigenvalue of the drift Laplacian on manifolds with Wentzell-type boundary condition in terms of some Cheeger-type constants for bul…
math.PR2024
Functional Inequalities for doubly weighted Brownian Motion with Sticky-Reflecting Boundary Diffusion
Marie Bormann
We give upper bounds for the Poincaré and Logarithmic Sobolev constants for doubly weighted Brownian motion on manifolds with sticky reflecting boundary diffusion under curvature a…
math.PR2024
Functional Inequalities for Brownian Motion on Riemannian Manifolds with Sticky-Reflecting Boundary Diffusion
Marie Bormann, Max von Renesse, Feng-Yu Wang
We prove geometric upper bounds for the Poincaré and Logarithmic Sobolev constants for Brownian motion on manifolds with sticky reflecting boundary diffusion i.e. extended Wentzell…