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Quantitative shrinking target properties for rotations and interval exchanges

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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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Authors and Affiliations

  1. Department of Mathematics, University of Utah, 155 S 1400 E, Room 233, Salt Lake City, UT, 84112, USA

    Jon Chaika

  2. Department of Mathematics and Computer Science, Wesleyan University, 265 Church Street, Middletown, CT, 06459, USA

    David Constantine

Authors
  1. Jon Chaika
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  2. David Constantine
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Correspondence to David Constantine.

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Chaika, J., Constantine, D. Quantitative shrinking target properties for rotations and interval exchanges. Isr. J. Math. 230, 275–334 (2019). https://doi.org/10.1007/s11856-018-1824-8

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  • DOI: https://doi.org/10.1007/s11856-018-1824-8

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