On Gibbs Measures and Spectra of Ruelle Transfer Operators

DOI10.4153/CMB-2016-073-2zbMATH Open1372.37065arXiv1703.04276MaRDI QIDQ5274827

Luchezar Stoyanov

Publication date: 6 July 2017

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

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 H"older constant of the function generating the operator appears only polynomially, not exponentially as in previous known estimates.

Full work available at URL: https://arxiv.org/abs/1703.04276

zbMATH Keywords

subshift of finite typeGibbs measureRuelle transfer operator

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

Fourier multipliers and transfer operators

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