Self-affine tiles generated by a finite number of matrices

Polyhedra and polytopes; regular figures, division of spaces (51M20) Fractals (28A80) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)

Cites Work

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Connectedness of a class of planar self-affine tiles
Height reducing property of polynomials and self-affine tiles
Boundary parametrization of self-affine tiles
Boundary parametrization of planar self-affine tiles with collinear digit set
Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
Connectedness of a class of two-dimensional self-affine tiles associated with triangular matrices
On disk-like self-affine tiles arising from polyominoes
Multifractal measures and a weak separation condition
A class of self-similar fractals with overlap structure
Haar-type multiwavelet bases and self-affine multi-tiles
Classification of integral expanding matrices and self-affine tiles
Topology of connected self-similar tiles in the plane with disconnected interiors
Wavelets and self-affine tilings
Self-affine tilings with several tiles. I
Expanding polynomials and connectedness of self-affine tiles
Self-affine tiles in \(\mathbb{R}^n\)
Exact computation of joint spectral characteristics of linear operators
Integral self-affine tiles of Bandt's model
On the fundamental group of self-affine plane tiles
Boundaries of disk-like self-affine tiles
Extremal \(L_p\)-norms of linear operators and self-similar functions
Construction of Markov partitions
Rational self-affine tiles
A single fractal pinwheel tile
A Planar Integral Self-Affine Tile with Cantor Set Intersections with Its Neighbors
Digit sets of integral self-affine tiles with prime determinant
Disklikeness of planar self-affine tiles
Disk-like tiles and self-affine curves with noncollinear digits
Weak separation properties for self-similar sets
Self-Similar Sets 5. Integer Matrices and Fractal Tilings of ℝ n
Separation Properties for Self-Similar Sets
Simultaneous Contractibility
On the Connectedness of Self-Affine Tiles
Integral Self-Affine Tiles in ℝⁿ I. Standard and Nonstandard Digit Sets
Disk-like self-affine tiles in \(\mathbb{R}^2\)