Results 1 to 10 of about 3,212 (118)
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 $\prod_{k=1}^N 2 \sin( x_k)$ for $N \to \infty$, where the numbers $ =(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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Randomness and uniform distribution modulo one [PDF]
Information and Computation, 2022 We elaborate the notions of Martin-L f 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.
Verónica Becher, Serge Grigorieff
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Blocks within the period of Lucas sequence
Ratio Mathematica, 2021 In this paper, we consider the periodic nature of the sequence of Lucas numbers L_n defined by the recurrence relation L_n= L_(n-1)+L_(n-2); for all n≥2; with initial condition L_0=2 and L_1=1.
Rima P. Patel, Dr. Devbhadra V. Shah
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Distribution of αp2 Modulo One with Prime Variable p of a Special Form
Journal of Mathematics, 2021 Let Pr denote an almost-prime with at most r prime factors, counted according to multiplicity.
Fei Xue, Jinjiang Li, Min Zhang
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Cogent Engineering, 2022 This paper considers a new method for obtaining an S-box, which is one of the nonlinear transformations used in modern block-symmetric cipher systems.
Ardabek Khompysh +4 more
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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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Boletín de la Sociedad Española de Cerámica y Vidrio, 2022 Resumen: En este trabajo se presenta un estudio en el que se aplica la teoría funcional de densidad (DFT), utilizando el software CASTEP, para cristales de silicato (K2SiO3, K2Si2O5 y K2Si4O9) y de óxido de silicio (cuarzo).
Thais Cleofé Linares Fuentes +5 more
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Universe, 2016 The existence of singularities alerts that one of the highest priorities of a centennial perspective on general relativity should be a careful re-thinking of the validity domain of Einstein’s field equations.
Elias Zafiris
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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 reciprocals and let K = K ( P ) \mathcal {K} = \mathcal {K}(\mathcal {P} ) denote the set of squarefree integers greater than one that are divisible ...
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