Quantitative uniform distribution results for geometric progressions
نویسندگان
چکیده
منابع مشابه
13 Geometric Discrepancy Theory and Uniform Distribution
A sequence s1, s2, . . . in U = [0, 1) is said to be uniformly distributed if, in the limit, the number of sj falling in any given subinterval is proportional to its length. Equivalently, s1, s2, . . . is uniformly distributed if the sequence of equiweighted atomic probability measures μN (sj) = 1/N , supported by the initial N -segments s1, s2, . . . , sN , converges weakly to Lebesgue measure...
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A sequence s1, s2, . . . in U = [0, 1) is said to be uniformly distributed if, in the limit, the number of sj falling in any given subinterval is proportional to its length. Equivalently, s1, s2, . . . is uniformly distributed if the sequence of equiweighted atomic probability measures μN (sj) = 1/N , supported by the initial N -segments s1, s2, . . . , sN , converges weakly to Lebesgue measure...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2014
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-014-1080-5