From a packing problem to quantitative recurrence in [0,1] and the Lagrange spectrum of interval exchanges

From a packing problem to quantitative recurrence in [0,1] and the Lagrange spectrum of interval exchanges, Discrete Analysis 2017:10, 25 pp. A basic fact in the theory of Diophantine approximation is Dirichlet's theorem that for every real number $\alpha$ there are infinitely many pairs $(m,...

Full description

Bibliographic Details
Main Authors: Michael Boshernitzan, Vincent Delecroix
Format: Article
Language:English
Published: Diamond Open Access Journals
Series:Discrete Analysis
Online Access:http://discrete-analysis.scholasticahq.com/article/1749-from-a-packing-problem-to-quantitative-recurrence-in-0-1-and-the-lagrange-spectrum-of-interval-exchanges.pdf