Spectral triples and Dixmier trace representations of Gibbs measures: theory and examples

DOI10.1088/1361-6544/ad7009MaRDI QIDQ6601333

Leandro M. Cioletti, L. Y. Hataishi, Manuel Stadlbauer, Artur Oscar Lopes

Publication date: 10 September 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

Dixmier tracespectral tripleRuelle operator theorempolynomial decay of correlations

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Noncommutative geometry (à la Connes) (58B34) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Measure-theoretic ergodic theory (28Dxx)

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