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Testing the irreversibility of a Gibbsian process via hitting and return times

J-R Chazottes et al 2005 Nonlinearity 18 2477-2489   doi: 10.1088/0951-7715/18/6/004  Help

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J-R Chazottes1 and F Redig2
1 Centre de Physique Théorique, CNRS UMR 7644, F-91128 Palaiseau Cedex, France
2 Mathematisch Instituut, Universiteit Leiden, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands
E-mail: jeanrene@cpht.polytechnique.fr and redig@math.leidenuniv.nl

Recommended by J R Dorfman

Abstract. We introduce estimators for the entropy production of a Gibbsian process based on the observation of a single or two typical trajectories. These estimators are built with adequate hitting and return times. We then study their convergence and fluctuation properties. This provides statistical tests for the irreversibility of Gibbsian processes.

Mathematics Subject Classification: 37B20

Print publication: Issue 6 (November 2005)
Received 30 March 2005
Published 8 August 2005

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