Coupled map lattices without cluster expansion

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February & March 2004, 11(2&3): 325-335. doi: 10.3934/dcds.2004.11.325

Coupled map lattices without cluster expansion

Gerhard Keller ^1, and Carlangelo Liverani ^2,

1.	Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstr. 1½, 91054 Erlangen, Germany
2.	Dipartimento di Matematica, Università di Roma "Tor Vergata", Via della Ricerca Scientifica, I-00133 Roma, Italy

Received October 2003 Revised May 2004 Published June 2004

Abstract
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We present an approach to the investigation of the statistical properties of weakly coupled map lattices that avoids completely cluster expansion techniques. Although here it is implemented on a simple case we expect similar strategies to be applicable in a much larger class of situations.

Keywords: Coupled map lattice, exponential decay of correlations, transfer operator, spatio-temporal chaos., spectral gap.

Mathematics Subject Classification: 37D20, 37D35, 37A25, 37A60, 82C2.

Citation: Gerhard Keller, Carlangelo Liverani. Coupled map lattices without cluster expansion. Discrete & Continuous Dynamical Systems - A, 2004, 11 (2&3) : 325-335. doi: 10.3934/dcds.2004.11.325

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