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Reversibility in Infinite Hamiltonian Systems with Conservative Noise |
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| Authors: | József Fritz Carlangelo Liverani Stefano Olla |
| Affiliation: | Department of Probability and Statistics, E?tv?s Lor′nd University of Sciences, H-1088 Budapest, Múzeum krt. 6-8, Hungary. E-mail: jofri@cs.elte.hu, HU II Universitá di Roma “Tor Vergata,” Dipartimento di Matematica, 00133 Roma, Italy.?E-mail: liverani@mat.utovrm.it, IT Université de Cergy–Pontoise, Département de Mathématiques, 2 avenue Adolphe Chauvin, Pontoise 95302 Cergy--Pontoise Cedex, France and Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, France. E-mail: olla@paris.polytechnique.fr, FR |
| Abstract: | The set of stationary measures of an infinite Hamiltonian system with noise is investigated. The model consists of particles moving in with bounded velocities and subject to a noise that does not violate the classical laws of conservation, see [OVY]. Following [LO] we assume that the noise has also a finite radius of interaction, and prove that translation invariant stationary states of finite specific entropy are reversible with respect to the stochastic component of the evolution. Therefore the results of [LO] imply that such invariant measures are superpositions of Gibbs states. Received: 26 September 1996 / Accepted: 3 January 1997 |
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