Abstract
1. Introduction. Uniform distribution—also called equidistribution—is a truly fundamental concept. The famous Weyl’s Criterion (about uniform distribution) is perhaps the most frequently quoted result in whole mathematics. This volume celebrates the 70th birthday of Endre Szemerédi: the famous Szemerédi’s Regularity Lemma is also about uniform distribution. It states, very roughly speaking, that every dense graph can be decomposed into a few “regular” parts, where the parts exhibit some kind of local edgeequidistribution. This paper is basically about the quantitative aspects of the continuous Kronecker-Weyl equidistribution theorem.
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© 2010 János Bolyai Mathematical Society and Springer-Verlag
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Beck, J. (2010). Super-Uniformity of The Typical Billiard Path. In: Bárány, I., Solymosi, J., Sági, G. (eds) An Irregular Mind. Bolyai Society Mathematical Studies, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14444-8_2
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DOI: https://doi.org/10.1007/978-3-642-14444-8_2
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