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Propagation of Gibbsianness for Infinite-dimensional Gradient Brownian Diffusions

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Abstract

We study the (strong-) Gibbsian character on \(\mathbb{R}^{\mathbb{Z}^d}\) of the law at time t of an infinite- imensional gradient Brownian diffusion, when the initial distribution is Gibbsian

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Authors and Affiliations

  1. Université de Valenciennes et du Hainaut-Cambrésis, Le Mont Houy, 59313, Valenciennes Cedex 09, France

    David Dereudre

  2. Institut für Mathematik der, Universität Potsdam, Postfach 601553, 14415, Potsdam, Germany

    Sylvie Rœlly

  3. Centre de Mathématiques Appliquées, École Polytechnique, UMR C.N.R.S. 7641, 91128, Palaiseau Cedex, France

    Sylvie Rœlly

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  1. David Dereudre
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  2. Sylvie Rœlly
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Correspondence to Sylvie Rœlly.

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Dereudre, D., Rœlly, S. Propagation of Gibbsianness for Infinite-dimensional Gradient Brownian Diffusions. J Stat Phys 121, 511–551 (2005). https://doi.org/10.1007/s10955-005-7580-2

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  • DOI: https://doi.org/10.1007/s10955-005-7580-2

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