SHRINKING TARGETS FOR NONAUTONOMOUS DYNAMICAL SYSTEMS CORRESPONDING TO CANTOR SERIES EXPANSIONS

DOI10.1017/S0004972715000441zbMath1326.11041arXiv1409.7950OpenAlexW1919245852MaRDI QIDQ2949802

Mariusz Urbański, Lior Fishman, Bill Mance, David Simmons

Publication date: 2 October 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7950

zbMATH Keywords

Diophantine approximationnon-autonomous dynamical systemsQ-Cantor series expansionshrinking target scheme

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamical systems and their relations with probability theory and stochastic processes (37A50)

Related Items

Doubly metric theory and simultaneous shrinking target problem in Cantor series expansion, SHRINKING TARGET PROBLEM FOR RANDOM IFS, Shrinking targets for non-autonomous systems, Dichotomy law for shrinking target problems in a nonautonomous dynamical system: Cantor series expansion, UNIFORM DIOPHANTINE APPROXIMATION TO CANTOR SERIES EXPANSION, A note on the distribution of the digits in Cantor expansions

Cites Work

• Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions
• Number theoretic applications of a class of Cantor series fractal functions. I
• Metric diophantine approximation in Julia sets of expanding rational maps
• Diophantine analysis of conformal iterated function systems
• Fractal dimensions for Jarník limit sets of geometrically finite Kleinian groups; the semi-classical approach
• Über den Satz von Borel-Renyi in der Theorie der Cantorschen Reihen
• On a new axiomatic theory of probability
• Some further statistical properties of the digits in Cantor's series
• The Jarník-Besicovitch Theorem for Geometrically Finite Kleinian Groups
• Jarník and Julia; a Diophantine analysis for parabolic rational maps for Geometrically Finite Kleinian Groups with Parabolic Elements
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers