Abstract
We establish comparison theorems involving exit time moments for Brownian motion and eigenvalues for the Dirichlet problem for domains in a complete Riemannian manifold. These theorems are closely related to isoperimetric properties of the ambient manifold.
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McDonald, P. Exit Times, Moment Problems and Comparison Theorems. Potential Anal 38, 1365–1372 (2013). https://doi.org/10.1007/s11118-012-9318-5
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DOI: https://doi.org/10.1007/s11118-012-9318-5