The measure of the intersection of rotates of a set on the circle
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- by Wolfgang M. Schmidt PDF
- Proc. Amer. Math. Soc. 48 (1975), 18-20 Request permission
Abstract:
Let $S$ be a set of real numbers modulo 1 of Lebesgue measure less than 1. It is shown that for every $\epsilon > 0$ and for large $k$, there exist translates $S + {y_1}, \cdots ,S + {y_k}$ of $S$ such that the measure of their intersection is less than ${\epsilon ^k}$.References
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 18-20
- DOI: https://doi.org/10.1090/S0002-9939-1975-0357343-5
- MathSciNet review: 0357343