Spectral gap for diffusion processes on noncompact manifolds (Q1902262)

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scientific article; zbMATH DE number 817792
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Spectral gap for diffusion processes on noncompact manifolds
scientific article; zbMATH DE number 817792

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    Spectral gap for diffusion processes on noncompact manifolds (English)
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    12 December 1995
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    The so-called spectral gap of a diffusion process on a compact manifold is always positive. The author establishes a condition (in terms of curvatures) which guarantees the same for non-compact manifolds. In this case the lower estimate of the gap is also obtained.
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    Riemannian manifold
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    spectral gap
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    diffusion process
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    non-compact manifolds
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    lower estimate
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