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math.DS2016★ 1 cited
From a Packing Problem to Quantitative Recurrence in and the Lagrange Spectrum of Interval Exchanges
Michael Boshernitzan, Vincent Delecroix
This article provides optimal constants for two quantitative recurrence problems. First of all for recurrence of maps of the interval [0,1] that preserve the Lebesgue measure and o…
math.DS2016
Under recurrence in the Khintchine recurrence theorem
Michael Boshernitzan, Nikos Frantzikinakis, Máté Wierdl
The Khintchine recurrence theorem asserts that on a measure preserving system, for every set and , we have for infinite…