Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems

2018/09/26 by Rosenblatt, Joseph, Roychowdhury, Mrinal Kanti
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1809.09780

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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