All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 16 Next

Displaying 301 – 320 of 1160

Showing per page

Equidistribution in the dual group of the S -adic integers

Roman Urban (2014)

Czechoslovak Mathematical Journal

Let X be the quotient group of the S -adele ring of an algebraic number field by the discrete group of S -integers. Given a probability measure μ on X d and an endomorphism T of X d , we consider the relation between uniform distribution of the sequence T n 𝐱 for μ -almost all 𝐱 ∈ X d and the behavior of μ relative to the translations by some rational subgroups of X d . The main result of this note is an extension of the corresponding result for the d -dimensional torus 𝕋 d due to B. Host.

Ergodic averages with deterministic weights

Fabien Durand, Dominique Schneider (2002)

Annales de l’institut Fourier

We study the convergence of the ergodic averages 1 N ∑ k = 0 N - 1 θ ( k ) f ∘ T u k where ( θ ( k ) ) k ∈ ℕ is a bounded sequence and ( u k ) k ∈ ℕ a strictly increasing sequence of integers such that Sup α ∈ ℝ | ∑ k = 0 N - 1 θ ( k ) exp ( 2 i π α u k ) | = O ( N δ ) for some δ < 1 . Moreover we give explicit such sequences θ and u and we investigate in particular the case where θ is a q -multiplicative sequence.

Currently displaying 301 – 320 of 1160