Surface Dimension, Tiles, and Synchronizing Automata
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Publication:3300873
DOI10.1137/19M130546XzbMath1444.42036arXiv2109.12285OpenAlexW3045552204MaRDI QIDQ3300873
Publication date: 30 July 2020
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.12285
regularityspectral radiusdimensionsynchronizationtilesreset wordfinite deterministic automataself-similar attractorsmultivariate Haar wavelets
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Formal languages and automata (68Q45) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Length, area, volume, other geometric measure theory (28A75) Difference equations (39A99)
Cites Work
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- Multivariate wavelet frames
- Invariance of the normalized Minkowski content with respect to the ambient space
- Vector multivariate subdivision schemes: comparison of spectral methods for their regularity analysis
- Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
- Outer Minkowski content for some classes of closed sets
- Accuracy of lattice translates of several multidimensional refinable functions
- Vector cascade algorithms and refinable function vectors in Sobolev spaces
- Multiple multivariate subdivision schemes: matrix and operator approaches
- On the connectedness of self-affine attractors
- Characterization of compactly supported refinable splines
- Regularity of anisotropic refinable functions
- Lower and upper bounds for the waists of different spaces
- The structure of multiplicative tilings of the real line
- Extremal \(L_p\)-norms of linear operators and self-similar functions
- Efficient Algorithms for the Consensus Decision Problem
- Reset Sequences for Monotonic Automata
- Synchronizing Automata and the Černý Conjecture
- Stationary subdivision
- Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
- Ten Lectures on Wavelets
- The generalized joint spectral radius. A geometric approach
- Self-similarity and multiwavelets in higher dimensions
- Characterization of $L^p $-Solutions for the Two-Scale Dilation Equations
- Simple tiles and attractors
- Fractal curves and wavelets
- Spectral factorization of 2-block Toeplitz matrices and refinement equations
- Self-similar lattice tilings