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Gibb's functionals on subshifts

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Abstract

We consider functionals on one dimensional subshifts which have prescribed Randon-Nikodym derivative under transportation by conjugating homeomorphisms, and investigate their relation to Ruelle's transfer operator. In particular we show that two-sided functionals essentially are products of a functional which are supported on stable and unstable leaves. We also prove the meromorphicity of the Fourier transform of correlation functions for AxiomA follows in a more general setting.

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Authors and Affiliations

  1. Department of Mathematics, University of Southern California, 90089, Los Angeles, CA, USA

    Nicolai T. A. Haydn

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  1. Nicolai T. A. Haydn
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Communicated by J.-P. Eckmann

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Haydn, N.T.A. Gibb's functionals on subshifts. Commun.Math. Phys. 134, 217–236 (1990). https://doi.org/10.1007/BF02097701

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  • DOI: https://doi.org/10.1007/BF02097701

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