Intermediate \(\beta\)-shifts as greedy \(\beta\)-shifts with a hole
DOI10.1007/s10474-023-01337-3arXiv2211.14584MaRDI QIDQ6111804
Niels Daniël Simon Langeveld, Tony Samuel
Publication date: 4 August 2023
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.14584
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)
Cites Work
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- Hausdorff dimensions of some irregular sets associated with \(\beta\)-expansions
- On Schmidt's game and the set of points with non-dense orbits under a class of expanding maps
- On numbers badly approximable by dyadic rationals
- The Lorenz equations: bifurcations, chaos, and strange attractors
- Continuity of entropy for Lorenz maps
- Ergodic theory, open dynamics, and coherent structures. Proceedings of the workshop at the Banff International Research Station (BIRS), Banff, Canada, April 9--15, 2012
- Intermediate \(\beta\)-shifts of finite type
- Maximal measures for simple piecewise monotonic transformations
- Dimension of countable intersections of some sets arising in expansions in non-integer bases
- Topological and symbolic dynamics for hyperbolic systems with holes
- The classification of topologically expansive lorenz maps
- On theβ-expansions of real numbers
- The -transformation with a hole at 0
- Topological conjugation of Lorenz maps by β-transformations
- Schmidt games and Markov partitions
- On Hausdorff dimension of invariant sets for expanding maps of a circle
- Symbolic dynamics for $\beta$-shifts and self-normal numbers
- Denseness of intermediate $\beta $-shifts of finite-type
- Introduction to Dynamical Systems
- An Introduction to Symbolic Dynamics and Coding
- Beta-expansions, natural extensions and multiple tilings associated with Pisot units
- The entropy of a special overlapping dynamical system
- Critical itineraries of maps with constant slope and one discontinuity
- Representations for real numbers
- On Badly Approximable Numbers and Certain Games
- Critical values for the -transformation with a hole at
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