Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems
Dynamical Systems
2019-12-18 v3
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.
Cite
@article{arxiv.1809.09780,
title = {Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems},
author = {Joseph Rosenblatt and Mrinal Kanti Roychowdhury},
journal= {arXiv preprint arXiv:1809.09780},
year = {2019}
}