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research article
Zero-one laws for eventually always hitting points in rapidly mixing systems
January 1, 2023
In this work we study the set of eventually always hitting points in shrinking target systems. These are points whose long orbit segments eventually hit the corresponding shrinking targets for all future times. We focus our attention on systems where translates of targets exhibit near perfect mutual independence, such as Bernoulli schemes and the Gauss map. For such systems, we present tight conditions on the shrinking rate of the targets so that the set of eventually always hitting points is a null set (or co-null set respectively).
Type
research article
Web of Science ID
WOS:001148662200010
Authors
Publication date
2023-01-01
Publisher
Published in
Volume
30
Issue
3
Start page
765
End page
805
Peer reviewed
REVIEWED
EPFL units
Funder | Grant Number |
National Science Foundation | DMS-1641020 |
NSF | DMS-1600814 |
Available on Infoscience
February 23, 2024
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