A dimension gap for continued fractions with independent digits

DOI10.1007/BF02772607zbMath1015.11040MaRDI QIDQ5951479

Benjamin Weiss, Yuri Kifer, Yuval Peres

Publication date: 5 August 2003

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionGauss map\(f\)-expansionergodic transformationpartial quotientregular continued fraction expansionsthermodynamic mechanism

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Metric theory of continued fractions (11K50) Dimension theory of smooth dynamical systems (37C45)

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A dimension gap for continued fractions with independent digits -- the non stationary case, On singularity and fine spectral structure of random continued fractions, On the fast Khintchine spectrum in continued fractions, On a question of Mendès France on normal numbers, Matrix random products with singular harmonic measure, Singular stationary measures for random piecewise affine interval homeomorphisms, Poisson and compound Poisson approximations in conventional and nonconventional setups, On the Pyatetskii-Shapiro normality criterion for continued fractions, ``Random random matrix products, On the frequency of partial quotients of regular continued fractions, Maximizing Bernoulli measures and dimension gaps for countable branched systems, Dimensional properties of the harmonic measure for a random walk on a hyperbolic group, Random continued fractions: Lévy constant and Chernoff-type estimate, A new proof of the dimension gap for the Gauss map, Fourier transforms of Gibbs measures for the Gauss map

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