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On Gibbs Measures and Spectra of Ruelle Transfer Operators

  Published:2016-12-07
 Printed: Jun 2017
  • Luchezar Stoyanov,
    School of Mathematics and Statistics,, University of Western Australia, Crawley WA 6009, Australia
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Abstract

We prove a comprehensive version of the Ruelle-Perron-Frobenius Theorem with explicit estimates of the spectral radius of the Ruelle transfer operator and various other quantities related to spectral properties of this operator. The novelty here is that the Hölder constant of the function generating the operator appears only polynomially, not exponentially as in previous known estimates.
Keywords: subshift of finite type, Ruelle transfer operator, Gibbs measure subshift of finite type, Ruelle transfer operator, Gibbs measure
MSC Classifications: 37A05, 37B10 show english descriptions Measure-preserving transformations
Symbolic dynamics [See also 37Cxx, 37Dxx]
37A05 - Measure-preserving transformations
37B10 - Symbolic dynamics [See also 37Cxx, 37Dxx]
 

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