Work

Geometric and Measure-Theoretic Shrinking Targets in Dynamical Systems

Year: 2018

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1809.09780

Authors: Rosenblatt, Joseph, Roychowdhury, Mrinal Kanti

Institutions: University of Illinois Urbana-Champaign, The University of Texas Rio Grande Valley

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2996707368

Cites: 15

Cited by:

Related to: 20