Coupled map lattices without cluster expansion

Gerhard Keller; Carlangelo Liverani

doi:10.3934/dcds.2004.11.325

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2004, Volume 11, Issue 2&3: 325-335. Doi: 10.3934/dcds.2004.11.325

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Coupled map lattices without cluster expansion

Gerhard Keller^1, and
Carlangelo Liverani^2,

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

Received: September 30, 2003

Revised: April 30, 2004

Published: August 2004

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Abstract

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.

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Mathematics Subject Classification: 37D20, 37D35, 37A25, 37A60, 82C20.

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