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The devil's staircase dimensions and measure-theoretical entropy of maps with horizontal gap - MaRDI portal

The devil's staircase dimensions and measure-theoretical entropy of maps with horizontal gap

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Publication:1768375

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DOI10.1007/S10884-004-6697-3zbMath1173.37313OpenAlexW2076615132MaRDI QIDQ1768375

Song-Sun Lin, Jung-Chao Ban

Publication date: 15 March 2005

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-004-6697-3

zbMATH Keywords

devils staircase Hausdoff dimension Pesins formula Upper (lower) box dimension

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Fractals (28A80) Foundations of time-dependent statistical mechanics (82C03) Topological entropy (37B40) Dimension theory of smooth dynamical systems (37C45)

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