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arxiv: 1608.08722 · v2 · pith:JRXXFIP3new · submitted 2016-08-31 · 🧮 math.SP

Exit Time Moments and Eigenvalue Estimates

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keywords eigenvalueestimatesexitmomentstimeassociatedboundedbrownian
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We study estimates involving the principal Dirichlet eigenvalue associated to a smoothly bounded domain in a complete Riemannian manifold and L1-norms of exit time moments of Brownian motion. Our results generalize a classical inequality of Polya.

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