Invariant measure of rotational beta expansion and Tarski's Plank problem
From MaRDI portal
Publication:517451
DOI10.1007/s00454-016-9849-4zbMath1365.37003arXiv1509.04785OpenAlexW2562805802MaRDI QIDQ517451
Shigeki Akiyama, Jonathan V. Caalim
Publication date: 23 March 2017
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1509.04785
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (2)
The digit exchanges in the rotational beta expansions of algebraic numbers ⋮ Representations for complex numbers with integer digits
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rotational beta expansion: ergodicity and soficness
- Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
- Invariant densities for random \(\beta\)-expansions
- The plank problem for symmetric bodies
- Polygonal radix representations of complex numbers
- Self-replicating tiles and their boundary
- Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane
- The construction of self-similar tilings
- Absolutely continuous invariant measures for multidimensional expanding maps
- On the characterization of expansion maps for self-affine tilings
- On the invariant density of the random \(\beta\)-transformation
- Markov subshifts and realization of \(\beta\)-expansions
- Zeta functions and transfer operators for multidimensional piecewise affine and expanding maps
- Beta-Expansions with Negative Bases
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- Generalized bounded variation and applications to piecewise monotonic transformations
- Complex Numbers with Three Radix Expansions
- Ergodic Transformations from an Interval Into Itself
- Canonical number systems, counting automata and fractals
- Integral Self-Affine Tiles in ℝ n I. Standard and Nonstandard Digit Sets
- Dynamical properties of the negative beta-transformation
- Isomorphisms between positive and negative -transformations
- Invariant densities for generalizedβ-maps
- Expansions in Complex Bases
- Representations for real numbers
- A Solution of the "Plank Problem"
- Absolutely continuous invariant measures for expanding piecewise linear maps
- On canonical number systems
This page was built for publication: Invariant measure of rotational beta expansion and Tarski's Plank problem