Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems

Authors

Joseph Rosenblatt
Mrinal Kanti Roychowdhury, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

5-2020

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.

Comments

© 2019 Published by Elsevier Inc. Original published version available at https://doi.org/10.1016/j.jmaa.2019.123769

Recommended Citation

Rosenblatt, Joseph, and Mrinal Kanti Roychowdhury. 2020. “Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems.” Journal of Mathematical Analysis and Applications 485 (1): 123769. https://doi.org/10.1016/j.jmaa.2019.123769.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2019.123769