Exit Times, Moment Problems and Comparison Theorems |
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Authors: | Patrick McDonald |
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Affiliation: | 1. New College of Florida, Sarasota, FL, 34243, USA
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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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