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On Gibbs Measures and Spectra of Ruelle Transfer Operators

Published online by Cambridge University Press:  20 November 2018

Luchezar Stoyanov
Luchezar Stoyanov*
Affiliation:
School of Mathematics and Statistics, University of Western Australia, Crawley, WA 6009, Australia. e-mail: luchezar.stoyanov@uwa.edu.au
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Abstract

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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 previously known estimates.

Keywords

37A0537B10subshift of finite typeRuelle transfer operatorGibbs measure
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 60 , Issue 2 , 01 June 2017 , pp. 411 - 421
Copyright
Copyright © Canadian Mathematical Society 2017

References

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