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The heat kernel formula in a geodesic chart and some applications to the eigenvalue problem of the 3-sphere

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Publication:756858
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DOI10.1007/BF01418865zbMath0723.60080MaRDI QIDQ756858

Martin Ngu Ndumu

Publication date: 1991

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


zbMATH Keywords

bridge processexpansion of the heat kernelheat kernel formula in a geodesic chart


Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30)


Related Items

First order Feynman-Kac formula, Brownian motion and Riemannian geometry in the neighbourhood of a submanifold, Brownian bridges to submanifolds, Dynamical Liouville



Cites Work

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  • Curvature and the eigenvalues of the Laplacian
  • Behavior of diffusion semi-groups at infinity
  • The distribution of the maximum Brownian excursion
  • Decomposing the Brownian path
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