Results 1 to 10 of about 1,325 (109)
Randomness and uniform distribution modulo one [PDF]
Information and Computation, 2022 We elaborate the notions of Martin-Löf and Schnorr randomness for real numbers in terms of uniform distribution of sequences. We give a necessary condition for a real number to be Schnorr random expressed in terms of classical uniform distribution of sequences.
Veronica Becher, Serge Grigorieff
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On Weyl products and uniform distribution modulo one. [PDF]
Mon Hefte Math, 2018 In the present paper we study the asymptotic behavior of trigonometric products of the form $\prod_{k=1}^N 2 \sin(πx_k)$ for $N \to \infty$, where the numbers $ω=(x_k)_{k=1}^N$ are evenly distributed in the unit interval $[0,1]$. The main result are matching lower and upper bounds for such products in terms of the star-discrepancy of the underlying ...
Aistleitner C +4 more
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Lyapunov Exponent Enhancement in Chaotic Maps with Uniform Distribution Modulo One Transformation
Chaos Theory and Applications, 2022 Most of the chaotic maps are not suitable for chaos-based cryptosystems due to their narrow chaotic parameter range and lacking of strong unpredictability.
Günyaz Ablay
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On the uniform distribution modulo one of subsequences of polynomial sequences II
Journal of Number Theory, 1980 AbstractLet P be a polynomial. As in the article [J. Coquet, J. Number Theory 10 (1978), 291–296], we find a necessary and sufficient condition for some subsequences of (P(n)) to be uniformly distributed modulo one. These subsequences are defined by properties of the q-adic expansion of n.
Jean Coquet
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Uniform distribution modulo one: a geometrical viewpoint.
Journal Fur Die Reine Und Angewandte Mathematik, 1981 MENDES FRANCE, M., DEKKING, F.M.
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Notes on uniform distribution modulo one [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1990 AbstractWe exhibit a sequence (un) which is not uniformly distributed modulo one even though for each fixed integer k ≥ 2 the sequence (kun) is u.d. (mod 1). Within the set of all such sequences, we characterize those with a well-behaved asymptotic distribution function. We exhibit a sequence (un) which is u.d. (mod 1) even though no subsequence of the
G. Myerson, A. D. Pollington
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Uniform distribution modulo one and binary search trees [PDF]
Journal de théorie des nombres de Bordeaux, 2002 Any sequence x = ( x k
Dekking, Michel, van der Wal, Peter
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Uniform distribution modulo one on subsequences [PDF]
Proceedings of the American Mathematical Society, 1999 Let P \mathcal {P} be a set of primes with a divergent series of ...
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Uniform Distribution of αn Modulo One for A family of Integer Sequences
Uniform distribution theory, 2023 Abstract We show that the sequence ( αn ) n ∈ℬ is uniformly distributed modulo 1, for every irrational α , provided ℬ belongs to a ...
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Trigonometric approximation and uniform distribution modulo one [PDF]
Proceedings of the American Mathematical Society, 1988 We construct n n -dimensional versions of the Beurling and Selberg majorizing and minorizing functions and use them to ...
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