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arXiv · 1809.09780

Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems

Joseph Rosenblatt·Mrinal Kanti Roychowdhury
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Abstract

We consider both geometric and measure-theoretic shrinking targets for ergodic maps, investigating when they are visible or invisible. Some Baire category theorems are proved, and particular constructions are given when the underlying map is fixed. Open questions about shrinking targets are also described.

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Joseph Rosenblatt, Mrinal Kanti Roychowdhury. 2018-09-26. Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems. https://arxiv.org/abs/1809.09780

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