Quantitative shrinking target properties for rotations and interval exchanges
Jon Chaika, David Constantine
TL;DR
This paper establishes quantitative shrinking target results for rotations and interval exchange transformations by developing a quantitative version of Boshernitzan's unique ergodicity criterion.
Contribution
It introduces a quantitative version of Boshernitzan's criterion, enabling precise analysis of shrinking targets in rotations and interval exchanges.
Findings
Quantitative shrinking target results for rotations.
Quantitative version of Boshernitzan's unique ergodicity criterion.
Enhanced understanding of ergodic properties in interval exchanges.
Abstract
This paper presents quantitative shrinking target results for rotations and interval exchange transformations. To do this a quantitative version of a unique ergodicity criterion of Boshernitzan is established.
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