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Intersections of quantitative recurrence and badly approximable sets for expanding Markov maps

Liao, Lingmin et al.
arXiv (All) · Papers
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dynamical-systems
We study a class of expanding Markov maps on the unit interval, which includes sofic \(β\)-transformations, Gauss maps, tent maps and cookie-cutter maps. We investigate the quantitative recurrence property for points that are dynamically badly approximable, namely, points whose orbits eventually rem
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