Spectral potential of transfer operators and topological pressure

MaRDI QIDQ6642734

Iya Aleksandrovna Ivanishko, A. V. Lebedev, Viktor Ivanovich Bakhtin

Publication date: 25 November 2024

Published in: Doklady Natsional'noĭ Akademii Nauk Belarusi (Search for Journal in Brave)

zbMATH Keywords

topological entropytopological pressurespectral potentialforward entropyrami-rate

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Operator theory (47-XX)

Cites Work

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• Weighted shift operator on a topological Markov chain
• The thermodynamic formalism for expanding maps
• Spectrum of weighted isometries: \(C^*\)-algebras, transfer operators and topological pressure
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• On Ruelle-Perron-Frobenius operators. I: Ruelle theorem

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