A. Mouze

activity

20142026

most citedA quantitative interpretation of the frequent hypercyclicity criterion

10 citations · 10 across the 9 of their papers we have counts for

collaborators

9 papers

math.FA2026

Common frequently hypercyclic random vectors

Augustin Mouze, Vincent Munnier

We study common frequently hypercyclic vectors for countable families of weighted backward shifts acting on $ℓ_{p}$ spaces, $1 \leq p < \infty$ . Using probabilistic techniques, we de…

math.CA2022

Optimal growth of upper frequently hypercyclic functions for some weighted Taylor shifts

Augustin Mouze, Vincent Munnier

We are interested in the optimal growth in terms of $L^{p}$ -averages of hypercyclic and $U$ -frequently hypercyclic functions for some weighted Taylor shift operators acting…

math.CV2022

Abel universal series

S Charpentier, A Mouze

Given a sequence = (r n) n $\in$ [0, 1) tending to 1, we consider the set U A (D,) of Abel universal series consisting of holomorphic functions f in the open unit disc D such that…

math.CV2021

Universal sequences of composition operators

Stéphane Charpentier, Augustin Mouze

Let $G$ and $Ω$ be two planar domains. We give necessary and sufficient conditions on a sequence $(ϕ_{n})$ of eventually injective holomorphic mappings from $G$ to $Ω$ for the existe…

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.CA2020

Universal Taylor series with respect to a prescribed subsequence

Augustin Mouze

For a holomorphic function $f$ in the open unit disc $D$ and $ζ \in D$ , $S_{n} (f, ζ)$ denotes the $n$ -th partial sum of the Taylor development of $f$ at $ζ$ . Given an…