Elementary fractal geometry. 4. Automata-generated topological spaces
From MaRDI portal
Publication:6615626
DOI10.46298/cm.12647MaRDI QIDQ6615626
Publication date: 8 October 2024
Published in: Communications in Mathematics (Search for Journal in Brave)
Formal languages and automata (68Q45) Fractals (28A80) Quotient spaces, decompositions in general topology (54B15) Radix representation; digital problems (11A63) Symbolic dynamics (37B10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topological invariants and Lipschitz equivalence of fractal squares
- Crystallographic number systems
- Self-similar sets. III: Constructions with sofic systems
- Vertices of self-similar tiles
- Julia sets and self-similar sets
- Lipschitz equivalence of self-similar sets with two-state neighbor automaton
- A dimension drop phenomenon of fractal cubes
- Topology of a class of \(p2\)-crystallographic replication tiles
- Topology of planar self-affine tiles with collinear digit set
- Algebraic topology of finite topological spaces and applications
- Differentiable points of Sierpinski-like sponges
- Continuous itinerary functions and dendrite maps
- A survey on topological properties of tiles related to number systems
- Boundaries of disk-like self-affine tiles
- Random walks and induced Dirichlet forms on self-similar sets
- Disklikeness of planar self-affine tiles
- Hausdorff Dimension in Graph Directed Constructions
- Harmonic Coordinates on Fractals with Finitely Ramified Cell Structure
- On the structure of self-similar sets
- Complex Numbers with Three Radix Expansions
- Self‐Similar Sets 2. A Simple Approach to the Topological Structure of Fractals
- Elementary fractal geometry. New relatives of the Sierpiński gasket
- Fractal squares with finitely many connected components *
- Local dimensions of self-similar measures satisfying the finite neighbour condition*
- On self-affine tiles whose boundary is a sphere
- Number representation and finite automata
- On the existence of cut points of connected generalized Sierpiński carpets
- A criterion for self-similar sets to be totally disconnected
This page was built for publication: Elementary fractal geometry. 4. Automata-generated topological spaces