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Map Lattices Coupled by Collisions

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Abstract

We introduce a new coupled map lattice model in which the weak interaction takes place via rare “collisions”. By “collision” we mean a strong (possibly discontinuous) change in the system. For such models we prove uniqueness of the SRB measure and exponential space-time decay of correlations.

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Authors and Affiliations

  1. Department Mathematik, Universität Erlangen-Nürnberg, Bismarckstr. 1 1/2, Erlangen, 91052, Germany

    Gerhard Keller

  2. Dipartimento di Matematica, II Università di Roma (Tor Vergata), Via della Ricerca Scientifica, Roma, 00133, Italy

    Carlangelo Liverani

Authors
  1. Gerhard Keller
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  2. Carlangelo Liverani
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Correspondence to Carlangelo Liverani.

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Communicated by A. Kupiainen

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Keller, G., Liverani, C. Map Lattices Coupled by Collisions. Commun. Math. Phys. 291, 591–597 (2009). https://doi.org/10.1007/s00220-009-0835-z

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  • DOI: https://doi.org/10.1007/s00220-009-0835-z

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