ZAREMBA, SALEM AND THE FRACTAL NATURE OF GHOST DISTRIBUTIONS
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Publication:6135505
DOI10.1017/s0004972722001046OpenAlexW4302303986MaRDI QIDQ6135505
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Publication date: 25 August 2023
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0004972722001046
symbolic dynamicsaperiodic orderdilation equationregular sequenceautomatic sequenceself-affine setcontinuous measure
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Automata sequences (11B85)
Cites Work
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- Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: algebraic and analytic approaches collated
- The ring of \(k\)-regular sequences
- Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences
- Spectral theory of regular sequences
- On the dimension of Bernoulli convolutions for all transcendental parameters
- An improvement to Zaremba's conjecture
- Multiscale Riesz products and their support properties
- Rigorous dimension estimates for Cantor sets arising in Zaremba theory
- Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
- Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
- Number Theoretic Aspects of Regular Sequences
- A natural probability measure derived from Stern’s diatomic sequence
- Mahler takes a regular view of Zaremba
- Products of Random Matrices
- On Some Singular Monotonic Functions Which Are Strictly Increasing
- On Zaremba's conjecture