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Hypoelliptic Diffusions and Cyclic Cohomology

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Seminar on Stochastic Analysis, Random Fields and Applications IV

Part of the book series: Progress in Probability ((PRPR,volume 58))

Abstract

We give a definition of the canonical Killing vector field associated to a hypoelliptic bridge.

Relation with cyclic cohomology is given, by using stochastic Chen iterated integrals.

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Author information

Authors and Affiliations

  1. Institut Élie Cartan, Université Henri Poincaré, F-54506, Vandœuvre-les-Nancy, France

    Rémi Léandre

  2. Institute of Mathematics, Polish Academy of Sciences, Sniakeckich 8, 00-950, Warsaw, Poland

    Rémi Léandre

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  1. Rémi Léandre
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Editor information

Editors and Affiliations

  1. Institut de Mathématiques, Ecole Polytechnique Fédérale, CH-1005, Lausanne, Switzerland

    Robert C. Dalang

  2. Institut Elie Cartan, Université Henri Poincaré, B.P. 239, F-54506, Vandoeuvre-lès-Nancy Cedex, France

    Marco Dozzi

  3. Département de Mathématiques, Institut Galilée, Université Paris 13, F-95430, Villetaneuse, France

    Francesco Russo

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Léandre, R. (2004). Hypoelliptic Diffusions and Cyclic Cohomology. In: Dalang, R.C., Dozzi, M., Russo, F. (eds) Seminar on Stochastic Analysis, Random Fields and Applications IV. Progress in Probability, vol 58. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7943-9_12

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  • DOI: https://doi.org/10.1007/978-3-0348-7943-9_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9630-6

  • Online ISBN: 978-3-0348-7943-9

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