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Path integral formulae for heat kernels and their derivatives
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  • Published: December 1993

Path integral formulae for heat kernels and their derivatives

  • J. R. Norris1 

Probability Theory and Related Fields volume 94, pages 525–541 (1993)Cite this article

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Summary

The heat kernel and its derivatives of a vector Laplacian on the sections of a bundle over a compact Riemannian manifold are expressed as products of the scalar heat kernel of the manifold and path integrals over the Brownian bridge. The small-time asymptotics of these integrals are computed.

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Authors and Affiliations

  1. Statistical Laboratory, University of Cambridge, 16 Mill Lane, CB2 1SB, Cambridge, UK

    J. R. Norris

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  1. J. R. Norris
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Norris, J.R. Path integral formulae for heat kernels and their derivatives. Probab. Th. Rel. Fields 94, 525–541 (1993). https://doi.org/10.1007/BF01192562

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  • Received: 27 July 1991

  • Revised: 01 June 1992

  • Issue Date: December 1993

  • DOI: https://doi.org/10.1007/BF01192562

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  • 58 G 32
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