On the diaphony of some finite hybrid point sets
On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus.
On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus, II.
On the discrepancy of some hybrid sequences
On the distribution of the elliptic subset sum generator of pseudorandom numbers.
On the limit distribution of the well-distribution measure of random binary sequences
We prove the existence of a limit distribution of the normalized well-distribution measure (as ) for random binary sequences , by this means solving a problem posed by Alon, Kohayakawa, Mauduit, Moreira and Rödl.
On the periods of the linear congruential and power generators
On the set .
Optimal 𝓛₂ discrepancy bounds for higher order digital sequences over the finite field 𝔽₂
-adic chaos and random number generation.
Pattern occurrence in the dyadic expansion of square root of two and an analysis of pseudorandom number generators.
Point Sets with Uniformity Properties and Orthogonal Hypercubes.
Problem of uniqueness in the renewal process generated by the uniform distribution.
Pseudorandom binary sequences and lattices
Pseudorandom sequences of binary vectors
Random generators and normal numbers.
Some doubly exponential sums over ℤₘ
Some remarks on pseudorandom sequences
Statistical Independence of Nonlinear Congruential Pseudorandom Numbers.
Sur la complexité de familles d’ensembles pseudo-aléatoires
Dans cet article, on s’intéresse au problème suivant. Soient un nombre premier, et . Quel est le plus grand entier tel que pour toutes paires de sous-ensembles disjoints de vérifiant , il existe tel que si et si ? Ce problème correspond à l’étude de la complexité de certaines familles d’ensembles pseudo-aléatoires. Dans un premier temps, nous rappelons la définition de cette complexité et resituons le contexte des ensembles pseudo-aléatoires. Ensuite, nous exposons les différents...