Quantitative shrinking target properties for rotations and interval exchanges

2012/01/04 by Chaika, Jon, Constantine, David · 1 citation
#37A05 #37E05 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1201.0941

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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• Twisted Diophantine approximation on manifolds

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