S. Grivaux

activity

20102023

most citedLinear dynamical systems on Hilbert spaces: typical properties and explicit examples

48 citations · 102 across the 24 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.FA2023

Orthogonality of invariant measures for weighted shifts

Sophie Grivaux, Etienne Matheron, Quentin Menet

We introduce and study the notion of orthogonality for two operators in the context of weighted backward shifts on $ℓ_{p} (Z_{+})$ , $1 \leq p < \infty$ . Two continuous linear o…

math.FA2023

Typicality of operators on Fréchet algebras admitting a hypercyclic algebra

William Alexandre, Clifford Gilmore, Sophie Grivaux

This paper is devoted to the study of typical properties (in the Baire Category sense) of certain classes of continuous linear operators acting on Fréchet algebras, endowed with th…

math.DS2023

Around Furstenberg's times $p$ , times $q$ conjecture: times $p$ -invariant measures with some large Fourier coefficients

Catalin Badea, Sophie Grivaux

For each integer $n \geq 1$ , denote by $T_{n}$ the map $x \mapsto n x mod 1$ from the circle group $T = R / Z$ into itself. Let $p, q \geq 2$ be two multiplicativ…

Orthogonality of invariant measures for weighted shifts

Typicality of operators on Fréchet algebras admitting a hypercyclic algebra

Around Furstenberg's times p, times q conjecture: times p-invariant measures with some large Fourier coefficients

Around Furstenberg's times $p$ , times $q$ conjecture: times $p$ -invariant measures with some large Fourier coefficients