Maximizing mean exit-time of the Brownian motion on Riemannian manifolds

DOI10.1007/s00605-014-0722-3zbMath1317.49053arXiv1309.7796OpenAlexW2009298438WikidataQ115385584 ScholiaQ115385584MaRDI QIDQ2339364

Andrea Loi, Lucio Cadeddu, Sylvestre Gallot

Publication date: 31 March 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.7796

zbMATH Keywords

Brownian motionRiemannian manifoldsharmonic manifoldharmonic domainisoperimetric manifold at a pointmean-exit time

Mathematics Subject Classification ID

Brownian motion (60J65) Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (7)

A short note on the mean exit time of the Brownian motion ⋮ Talenti's comparison theorem for Poisson equation and applications on Riemannian manifold with nonnegative Ricci curvature ⋮ The Cheeger problem in abstract measure spaces ⋮ Comparison results, exit time moments, and eigenvalues on Riemannian manifolds with a lower Ricci curvature bound ⋮ On the heat content functional and its critical domains ⋮ Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition ⋮ On torsional rigidity and ground-state energy of compact quantum graphs

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