A DICHOTOMY LAW FOR THE DIOPHANTINE PROPERTIES IN ‐DYNAMICAL SYSTEMS
Author:
Affiliation:
1. School of Mathematical and Physical Sciences, University of NewcastleCallaghanNSW2308Australia
2. School of Mathematics and Statistics, Huazhong University of Science and TechnologyWuhan430074China
Funder
Australian Research Council
National Natural Science Foundation of China
Publisher
Wiley
Subject
General Mathematics
Link
https://onlinelibrary.wiley.com/doi/pdf/10.1112/S0025579316000085
Reference35 articles.
1. Dynamical Borel-Cantelli lemmas for gibbs measures
2. 29. H. Reeve , Shrinking targets for countable Markov maps. Preprint, 2011, arXiv:1107.4736.
3. The shrinking target problem in the dynamical system of continued fractions
4. Representations for real numbers and their ergodic properties
5. Measure theoretic laws for lim sup sets;Beresnevich;Mem. Amer. Math. Soc.,2006
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2. HIGHER-DIMENSIONAL SHRINKING TARGET PROBLEM FOR BETA DYNAMICAL SYSTEMS;Journal of the Australian Mathematical Society;2022-03-22
3. MEAN LI–YORKE CHAOTIC SET WITH FULL HAUSDORFF DIMENSION FOR CONTINUED FRACTIONS;Fractals;2021-11-11
4. SIMULTANEOUS DYNAMICAL DIOPHANTINE APPROXIMATION IN BETA EXPANSIONS;Bulletin of the Australian Mathematical Society;2020-01-08
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