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A simultaneous almost everywhere central limit theorem for diffusions and its application to path energy and eigenvalues of the Laplacian

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Publication:916191
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zbMath0703.58054MaRDI QIDQ916191

Gunnar A. Brosamler

Publication date: 1990

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Laplace operatoroccupation measurecentral limit theorem


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Diffusion processes and stochastic analysis on manifolds (58J65)


Related Items (4)

Almost sure central limit theorem for the maxima and sums of stationary Gaussian sequences ⋮ Almost sure convergence of extreme order statistics ⋮ Almost sure asymptotics for extremes of non-stationary Gaussian random fields ⋮ The principle of large deviations for almost everywhere central limit theorem







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