Q. Menet

activity

20122026

most citedRecurrence properties of hypercyclic operators

68 citations · 246 across the 19 of their papers we have counts for

collaborators

Showing 2019Show all

5 papers · 1 filter

math.FA2019

Chaos and frequent hypercyclicity for weighted shifts

Stéphane Charpentier, Karl Grosse-Erdmann, Quentin Menet

Bayart and Ruzsa [Ergodic Theory Dynam. Systems 35 (2015)] have recently shown that every frequently hypercyclic weighted shift on $ℓ^{p}$ is chaotic. This contrasts with an earli…

math.DS2019★ 11 cited

Inverse of frequently hypercyclic operators

Quentin Menet

We show that there exists an invertible frequently hypercyclic operator on $ℓ^{1} (N)$ whose inverse is not frequently hypercyclic.

math.FA2019

$U$ -Frequent hypercyclicity notions and related weighted densities

Romuald Ernst, Céline Esser, Quentin Menet

We study dynamical notions lying between $U$ -frequent hypercyclicity and reiterative hypercyclicity by investigating weighted upper densities between the unweighted upper…

math.DS2019★ 1 cited

Inverse of $U$ -frequently hypercyclic operators

Quentin Menet

We show that there exists an invertible $U$ -frequently hypercyclic operator on $ℓ^{p} (N)$ ( $1 \leq p < \infty$ ) whose inverse is not $U$ -frequently hyper…

math.DS2019★ 3 cited

A bridge between U-frequent hypercyclicity and frequent hypercyclicity

Quentin Menet

Given $A$ the family of weights $a = (a_{n})_{n}$ decreasing to $0$ such that the series $\sum_{n = 0}^{\infty} a_{n}$ diverges, we show that the supremum on $A$ of lower…

Chaos and frequent hypercyclicity for weighted shifts

Inverse of frequently hypercyclic operators

U-Frequent hypercyclicity notions and related weighted densities

Inverse of U-frequently hypercyclic operators

A bridge between U-frequent hypercyclicity and frequent hypercyclicity

$U$ -Frequent hypercyclicity notions and related weighted densities

Inverse of $U$ -frequently hypercyclic operators