Generalized \(\beta\)-transformations and the entropy of unimodal maps

DOI10.4171/CMH/424zbMath1380.37080arXiv1602.03518MaRDI QIDQ1681633

Daniel J. Thompson

Publication date: 24 November 2017

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.03518

zbMATH Keywords

topological entropyinterval mapexpansion of real numbers

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Topological entropy (37B40) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (5)

Eigenfunctions of the Perron–Frobenius operators for generalized beta-maps ⋮ A characterization of Thurston’s Master Teapot ⋮ Density of periodic measures and large deviation principle for generalised mod one transformations ⋮ The shape of Thurston's master teapot ⋮ Natural extensions for \(p\)-adic \(\beta\)-shifts and other scaling maps

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