48 citations · 52 across the 6 of their papers we have counts for
7 papers · 1 filter
Disjoint frequently hypercyclic pseudo-shifts
Özgür Martin, Quentin Menet, Yunied Puig
We obtain a Disjoint Frequent Hypercyclicity Criterion and show that it characterizes disjoint frequent hypercyclicity for a family of unilateral pseudo-shifts on …
Common hypercyclic vectors and dimension of the parameter set
Frédéric Bayart, Fernando Costa, Quentin Menet
We investigate the existence of a common hypercyclic vector for a family of hypercyclicoperators acting on the same Banach space . We give positive and negative…
Does a typical -space contraction have a non-trivial invariant subspace?
Sophie Grivaux, Étienne Matheron, Quentin Menet
Given a Polish topology on , the set of all contraction operators on , or , we prove several results related to the follo…
Invariant subspaces for Fréchet spaces without continuous norm
Quentin Menet
Let be a Fréchet space with a Schauder basis and without continuous norm, where is an increasing sequence of seminorms inducing the topology of . We show tha…
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 is chaotic. This contrasts with an earli…
-Frequent hypercyclicity notions and related weighted densities
Romuald Ernst, Céline Esser, Quentin Menet
We study dynamical notions lying between -frequent hypercyclicity and reiterative hypercyclicity by investigating weighted upper densities between the unweighted upper…