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On a Class of Uniformly Distributed Sequences of Point Sets
Authors:Email author" target="_blank">Yong?Gao?ChenEmail author  Yao?Chen?Zhu
Institution:(1) Department of Mathematics, Nanjing Normal University, Nanjing, 210097, P. R. China;(2) Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Academia Sinica, Beijing, 100080, P. R. China
Abstract:Abstract In this note we construct certain sequences of finite point sets in 0, 1) s (s ≥ 1) and give the upper bounds of their discrepancy. Furthermore we prove that these sequences are uniformly distrbuted in 0, 1) s . Supported by the National Natural Science Foundation of China and the “333 Project” Foundation of Jiangsu Province of China
Keywords:Uniform distribution  Discrepancy  Sequence of point sets
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