The -transformation with a hole at 0

DOI10.1017/etds.2019.12zbMath1448.11153arXiv1803.07338OpenAlexW2999061577MaRDI QIDQ3303948

Derong Kong, Wenxia Li, Niels Daniël Simon Langeveld, Charlene Kalle

Publication date: 5 August 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.07338

zbMATH Keywords

symbolic dynamicsdimension theorylow-dimensional dynamics

Mathematics Subject Classification ID

Combinatorics on words (68R15) Measure-preserving transformations (28D05) Singular functions, Cantor functions, functions with other special properties (26A30) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items

Density spectrum of Cantor measure ⋮ Two bifurcation sets arising from the beta transformation with a hole at 0 ⋮ Critical values for the -transformation with a hole at ⋮ The shrinking target problem for matrix transformations of tori: revisiting the standard problem ⋮ Fiber denseness of intermediate β-shifts of finite type ⋮ Intermediate \(\beta\)-shifts as greedy \(\beta\)-shifts with a hole ⋮ Generalized Fibonacci numbers and extreme value laws for the Rényi map ⋮ Pointwise densities of homogeneous Cantor measure and critical values ⋮ The bifurcation set as a topological invariant for one-dimensional dynamics

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