A decomposition of multicorrelation sequences for commuting transformations along primes
Discrete analysis (2021)
Voir la notice de l'article provenant de la source Scholastica
arXiv
We study multicorrelation sequences arising from systems with commuting transformations. Our main result is a refinement of a decomposition result of Frantzikinakis and it states that any multicorrelation sequences for commuting transformations can be decomposed, for every $ε>0$, as the sum of a nilsequence $φ(n)$ and a sequence $ω(n)$ satisfying $\lim_{N\to\infty}\frac{1}{N}\sum_{n=1}^N |ω(n)|$ and $\lim_{N\to\infty}\frac{1}{|\mathbb{P}\cap [N]|}\sum_{p\in \mathbb{P}\cap [N]} |ω(p)|$.
Anh N. Le; Joel Moreira; Florian K. Richter. A decomposition of multicorrelation sequences for commuting transformations along primes. Discrete analysis (2021). http://geodesic.mathdoc.fr/item/DAS_2021_a23/
@article{DAS_2021_a23,
author = {Anh N. Le and Joel Moreira and Florian K. Richter},
title = {A decomposition of multicorrelation sequences for commuting transformations along primes},
journal = {Discrete analysis},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DAS_2021_a23/}
}