Combinatorics of linear iterated function systems with overlaps
From MaRDI portal
Publication:5297509
DOI10.1088/0951-7715/20/5/013zbMath1122.60066arXivmath/0703607OpenAlexW2078945039MaRDI QIDQ5297509
Publication date: 11 July 2007
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0703607
Discrete-time Markov processes on general state spaces (60J05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Radix representation; digital problems (11A63)
Related Items (17)
Global fractal transformations and global addressing ⋮ Unique expansions and intersections of Cantor sets ⋮ Growth rate for beta-expansions ⋮ On the cardinality and complexity of the set of codings for self-similar sets with positive Lebesgue measure ⋮ Autonomous choices among deterministic evolution-laws as source of uncertainty ⋮ On universal and periodic \(\beta\)-expansions, and the Hausdorff dimension of the set of all expansions ⋮ Intersection of Sierpinski gasket with its translation ⋮ On a family of self-affine sets: Topology, uniqueness, simultaneous expansions ⋮ Self-similar sets with an open set condition and great variety of overlaps ⋮ On intrinsic and extrinsic rational approximation to Cantor sets ⋮ Critical base for the unique codings of fat Sierpinski gasket ⋮ Entropy, topological transitivity, and dimensional properties of unique 𝑞-expansions ⋮ Exceptional digit frequencies and expansions in non-integer bases ⋮ On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne ⋮ Periodic unique beta-expansions: the Sharkovskiĭ ordering ⋮ Relative bifurcation sets and the local dimension of univoque bases ⋮ Univoque sets for real numbers
This page was built for publication: Combinatorics of linear iterated function systems with overlaps