Mean exit time from convex hypersurfaces

DOI10.1090/S0002-9939-98-04202-6zbMath0894.60073OpenAlexW1530555482MaRDI QIDQ4387092

Vicente Palmer

Publication date: 6 May 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04202-6

zbMATH Keywords

Brownian motionconvex hypersurfacemean exit timeextrinsic ball

Mathematics Subject Classification ID

Brownian motion (60J65) Diffusion processes and stochastic analysis on manifolds (58J65) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

Estimates of the first Dirichlet eigenvalue from exit time moment spectra ⋮ Extrinsic isoperimetric analysis on submanifolds with curvatures bounded from below ⋮ Parabolicity, Brownian exit time and properness of solitons of the direct and inverse mean curvature flow ⋮ Comparison of exit moment spectra for extrinsic metric balls ⋮ On Deciding Whether a Submanifold Is Parabolic or Hyperbolic Using Its Mean Curvature ⋮ Torsional rigidity of submanifolds with controlled geometry

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