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An application of the Bakry-Emery criterion to infinite dimensional diffusions

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Séminaire de Probabilités XX 1984/85

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 1204))

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References

  1. Bakry, D. and Emery, M., "Hypercontractivite de semi-groupes de diffusion", C.R. Acad. Sc. Paris, t. 299, Serie I no.15 (1984).

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  2. Holley, R. and Stroock, D., "L2 theory for the stochastic Ising model", Z. Wahr. 35, pp. 87–101 (1976).

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  3. Holley, R. and Stroock, D., "Diffusions on an infinite dimensional Torus", J. Fnal. Anal., vol. 42 no.1, pp. 29–63 (1981).

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  4. Holley, R. and Stroock, D., "Logarithmic Sobolev inequalities and stochastic Ising models", to appear in the issue of J. Statistical Physics dedicated to the memory of M. Kac.

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  5. Rothaus, O., "Logarithmic Sobolev inequalities and the spectrum of Schroedinger operators", J. Fnal. Anal., vol. 42 no.1, pp. 110–120 (1981).

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, M.I.T., 02140, Cambridge, MA, U.S.A.

    Daniel W. Stroock

Authors
  1. Eric A. Carlen
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  2. Daniel W. Stroock
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Jacques Azéma Marc Yor

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© 1986 Springer-Verlag

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Carlen, E.A., Stroock, D.W. (1986). An application of the Bakry-Emery criterion to infinite dimensional diffusions. In: Azéma, J., Yor, M. (eds) Séminaire de Probabilités XX 1984/85. Lecture Notes in Mathematics, vol 1204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075726

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  • DOI: https://doi.org/10.1007/BFb0075726

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16779-2

  • Online ISBN: 978-3-540-39860-8

  • eBook Packages: Springer Book Archive

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