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

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Rittaud B.

Colloquium Mathematicum

2003

tom 96

nr 1

55-73

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.

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1 Colloquium Mathematicum

1 Rittaud B.

1 2003

Wyniki wyszukiwania

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