Romuald Ernst

activity

20122026

most citedA quantitative interpretation of the frequent hypercyclicity criterion

10 citations · 12 across the 7 of their papers we have counts for

collaborators

11 papers

math.DS2026

Existence and non-existence in common hypercyclicity and its frequent variants

Romuald Ernst, Fernando Vieira Costa Junior, Monia Mestiri +1

Given a family $T = (T_{λ})_{λ \in Λ}$ of bounded linear operators acting on the same $F$ -space $X$ and indexed by a set of parameters $Λ \subset R^{d}$ , $d \geq 1$ , we ex…

math.FA2026

Hypercyclicity and Lipschitz-free operators

Christian Cobollo, Romuald Ernst, Quentin Menet +1

We study linearizations of dynamical systems and some of its topological properties. Special attention is paid to the case of Lipschitz-free operators, and they are shown to model…

math.FA2020

Common frequent hypercyclicity

Stéphane Charpentier, Romuald Ernst, Monia Mestiri +1

We provide with criteria for a family of sequences of operators to share a frequently universal vector. These criteria are variants of the classical Frequent Hypercyclicity Criteri…

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.FA2019★ 1 cited

Hypercyclic Algebras for convolution operators of unimodular constant term

J. Bes, R. Ernst, A. Prieto

We study the existence of hypercyclic algebras for convolution operators $Φ (D)$ on the space of entire functions whose symbol $Φ$ has unimodular constant term. In particular, we pr…

math.FA2018★ 1 cited

Frequent universality criterion and densities

Romuald Ernst, A Mouze

We improve a recent result by giving the optimal conclusion possible both to the frequent universality criterion and the frequent hypercyclicity criterion using the notion of A-den…