Decay of correlations for the automorphism of the torus

Authors: Brini F.¹; Siboni S.²; Turchetti G.¹; Vaienti S.³

Source: Nonlinearity, Volume 10, Number 5, 1997 , pp. 1257-1268(12)

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Abstract:

We present new analytical results concerning Markov partitions, transition matrices and decay of correlations for hyperbolic algebraic automorphisms of the torus . A new numerical tool for the computation of the decay of correlations for automorphism is also illustrated. The tool, based on Markov partitions, allows us to calculate the correlation integrals for a large variety of functions and domains defined in and for a high number of iterations of the map. It can be used to test other numerical and analytical methods for estimating correlation decay.

Language: English

Document Type: Miscellaneous

Affiliations: 1: Universit? degli studi di Bologna, Dipartimento di Fisica, INFN Sezione di Bologna, Italy 2: Universit? degli studi di Trento, Dipartimento di Ingegneria dei Materiali, Trento, Italy 3: Universit? de Toulon et du Var, Centre de Physique Th?orique CNRS Luminy, Marseille, France

Publication date: 1997-01-01