A new proof of the dimension gap for the Gauss map

DOI10.1017/S0305004121000104OpenAlexW3168360380WikidataQ114116792 ScholiaQ114116792MaRDI QIDQ5019785

Natalia Jurga

Publication date: 11 January 2022

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.00841

zbMATH Keywords

Bernoulli measuresthermodynamic formalismGauss map

Mathematics Subject Classification ID

Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dimension theory of smooth dynamical systems (37C45)

Cites Work

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• Decay of correlations
• Invariant Measures and Equilibrium States for Some Mappings which Expand Distances
• Thermodynamic Formalism
• Maximizing Bernoulli measures and dimension gaps for countable branched systems
• A dimension gap for continued fractions with independent digits
• Gibbs states on the symbolic space over an infinite alphabet

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