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On Gibbs Measures and Spectra of Ruelle Transfer Operators
Published online by Cambridge University Press: 20 November 2018
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 previously known estimates.
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- Copyright © Canadian Mathematical Society 2017