Cantor sets and numbers with restricted partial quotients
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Publication:4700124
DOI10.1090/S0002-9947-99-02272-2zbMath0967.11026OpenAlexW2066251589MaRDI QIDQ4700124
Publication date: 1 November 1999
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02272-2
Related Items (32)
When the algebraic difference of two central Cantor sets is an interval? ⋮ N ‐fold sums of Cantor sets ⋮ On arithmetic sums of Ahlfors-regular sets ⋮ Obtaining an explicit interval for a nonlinear Newhouse thickness theorem ⋮ Fractal projections with an application in number theory ⋮ Quantitative reducibility of Gevrey quasi-periodic cocycles and its applications ⋮ Sums of Cantor sets yielding an interval ⋮ Algebraic sums and products of univoque bases ⋮ Intersections of thick compact sets in \(\mathbb{R}^d\) ⋮ Continued fractions with bounded even-order partial quotients ⋮ On a topological Erdős similarity problem ⋮ On sums of semibounded Cantor sets ⋮ ON ARITHMETIC SUMS OF CONNECTED SETS IN ⋮ Univoque bases of real numbers: simply normal bases, irregular bases and multiple rationals ⋮ Spectral and quantum dynamical properties of the weakly coupled Fibonacci Hamiltonian ⋮ Properties of 1D classical and quantum Ising models: rigorous results ⋮ Persistent Hall rays for Lagrange spectra at cusps of Riemann surfaces ⋮ Mixed spectral regimes for square Fibonacci Hamiltonians ⋮ On measures that improve \(L^q\) dimension under convolution ⋮ Sums of numbers with small partial quotients ⋮ Products and quotients of numbers with small partial quotients ⋮ Sums of numbers with small partial quotients. II ⋮ On arithmetic sums of fractal sets in Rd ⋮ Phase transitions on the Markov and Lagrange dynamical spectra ⋮ Cantor sets arising from continued radicals ⋮ Sums of two homogeneous Cantor sets ⋮ On the spectra of separable 2D almost Mathieu operators ⋮ Patterns in thick compact sets ⋮ Arithmetic representations of real numbers in terms of self-similar sets ⋮ Thickness measures for Cantor sets ⋮ Dimension growth for iterated sumsets ⋮ How likely can a point be in different Cantor sets
Cites Work
- The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
- On the sum and product of continued fractions
- Results on Sums of Continued Fractions
- Thickness measures for Cantor sets
- Sums and Products of Continued Fractions
- Sums of Sets of Continued Fractions
- On the sums of continued fractions
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