-adic chaos and random number generation.
Pair correlation of lattice points with prime constraint
Parry expansions of polynomial sequences.
Partial densities on the group of integers
Conditions are obtained under which a partial density on the group of integers with the discrete topology can be extended to a density.
Parties d'ensembles B-Normaux.
Pattern occurrence in the dyadic expansion of square root of two and an analysis of pseudorandom number generators.
Patterson measure and ubiquity.
Periodic Jacobi-Perron expansions associated with a unit
We prove that, for any unit in a real number field of degree , there exits only a finite number of n-tuples in which have a purely periodic expansion by the Jacobi-Perron algorithm. This generalizes the case of continued fractions for . For we give an explicit algorithm to compute all these pairs.
Periodic multiplicative algorithms of Selmer type.
Periodic, Multiplicative Number-Theoretical Functions.
Periods of β-expansions and linear recurrent sequences
Permutations preserving Cesàro mean, densities of natural numbers and uniform distribution of sequences
We are interested in permutations preserving certain distribution properties of sequences. In particular we consider -uniformly distributed sequences on a compact metric space , 0-1 sequences with densities, and Cesàro summable bounded sequences. It is shown that the maximal subgroups, respectively subsemigroups, of leaving any of the above spaces invariant coincide. A subgroup of these permutation groups, which can be determined explicitly, is the Lévy group . We show that is big in the...
Piecewise convex transformations with no finite invariant measure
Abstract. The paper concerns the problem of the existence of a finite invariant absolutely continuous measure for piecewise -regular and convex transformations T: [0, l]→[0,1]. We show that in the case when T’(0) = 1 and T"(0) exists T does not admit such a measure. This result is complementary to the ones contained in [3] and [5].
Poincaré's conjecture and the distribution of digits in tables
Point Sets and Sequences with Small Discrepancy.
Point Sets with Uniformity Properties and Orthogonal Hypercubes.
Points entiers au voisinage d'une courbe plane de classe Cⁿ
Points sets with low discrepancy
Poisson Approximation for the Number of Large Digits of Inhomogeneous f-Expansions.
Poisson distribution for a sum of additive functions on shifted primes