2 papers
math.DG2023
Mean exit times from submanifolds with bounded mean curvature
G. Pacelli Bessa, Steen Markvorsen, Leandro F. Pessoa
We show that submanifolds with infinite mean exit time can not be isometrically and minimally immersed into cylinders, horocylinders, cones, and wedges of some product spaces. Our…
math.DG2010
Comparison of exit moment spectra for extrinsic metric balls
Ana Hurtado, Steen Markvorsen, Vicente Palmer
We prove explicit upper and lower bounds for the -moment spectra for the Brownian motion exit time from extrinsic metric balls of submanifolds in ambient Riemannian spac…