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A functional central limit theorem for diffusions on periodic submanifolds of \(\mathbb R^N\)

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Publication:2571013
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DOI10.1007/s00440-004-0425-0zbMath1093.60015OpenAlexW2016064425MaRDI QIDQ2571013

Brice Franke

Publication date: 2 November 2005

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-004-0425-0


zbMATH Keywords

homogenizationrecurrenceasymptotic analysistransienceperiodic manifoldperiodic diffusion


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Diffusion processes and stochastic analysis on manifolds (58J65) Functional limit theorems; invariance principles (60F17) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)


Related Items (1)

Periodic homogenization of nonsymmetric Lévy-type processes



Cites Work

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  • A central limit theorem for diffusions with periodic coefficients
  • The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
  • Remark about heat diffusion on periodic spaces
  • Riemannian geometry and geometric analysis


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