Équidistribution presque partout modulo 1 de suites oscillantes perturbées - II : cas liouvillien unidimensionnel

• Autorzy: Benoît Rittaud
• Języki publikacji: FR EN

Abstrakty

EN

We extend the results on uniform distribution modulo 1 given in [3] to sequences of the form (t(hₙF(nΘ) + εₙh'ₙ))ₙ, where (hₙ)ₙ, (h'ₙ)ₙ and (hₙ/h'ₙ)ₙ are polynomially increasing sequences, (εₙ)ₙ a bounded sequence, F: ℝ → ℝ essentially a 1-periodic C³ function, Θ and t real numbers (the case $F: ℝ^{d} → ℝ $ and $Θ ∈ ℝ ^{d}$ for d > 1$ will be treated in a separate article). We remove the diophantine hypothesis on Θ needed in [3], and add a technical hypothesis on hₙ.

Kategorie tematyczne

• 11K38: Irregularities of distribution, discrepancy
• 11J71: Distribution modulo one

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 96
• Numer: 1
• Strony: 55-73

Daty

wydano

2003

Twórcy

autor

Benoît Rittaud

• Laboratoire d'Analyse, Géométrie et Applications, Institut Galilée, Université Paris 13, av. J.-B. Clément, 93430 Villetaneuse, France

Identyfikatory

DOI

10.4064/cm96-1-6