Shrinking target problems in \(d\)-decaying Gauss-like iterated function systems
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Publication:6614377
DOI10.1016/J.JMAA.2024.128680MaRDI QIDQ6614377
Saisai Shi, Jia Liu, Yuan Zhang
Publication date: 7 October 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Classical measure theory (28Axx) Dynamical systems with hyperbolic behavior (37Dxx) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11Kxx)
Cites Work
- Distribution of full cylinders and the Diophantine properties of the orbits in \(\beta\)-expansions
- Hausdorff dimension of the recurrence set of Gauss transformation
- Metric diophantine approximation in Julia sets of expanding rational maps
- Diophantine analysis of conformal iterated function systems
- Thermodynamic formalism and multifractal analysis of conformal infinite iterated function systems
- The ergodic theory of shrinking targets
- A remark on big Birkhoff sums in \(d\)-decaying Gauss like iterated function systems
- Quantitative recurrence properties in conformal iterated function systems
- The growth speed of digits in infinite iterated function systems
- Fractal geometry. Mathematical foundations and applications
- Expanding maps, shrinking targets and hitting times
- Conformal iterated function systems with applications to the geometry of continued fractions
- On the fractional dimension of sets of continued fractions
- Appendix to the paper by T. Łuczak—A simple proof of the lower
- Big Birkhoff sums in $d$-decaying Gauss like iterated function systems
- Increasing digit subsystems of infinite iterated function systems
- The shrinking target problem in the dynamical system of continued fractions
- Dynamical Borel-Cantelli lemmas for Gibbs measures
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