S. Grivaux

most citedQuestions in linear recurrence: From the

T \oplus T

-problem to lineability

3 citations · 3 across the 1 of their papers we have counts for

collaborators

2 papers

math.FA2025★ 3 cited

Questions in linear recurrence: From the $T \oplus T$ -problem to lineability

Sophie Grivaux, Antoni LÃ³pez-MartÃnez, Alfred Peris

We study, for a continuous linear operator $T$ on an F-space $X$ , when the direct sum operator $T \oplus T$ is recurrent on $X \oplus X$ . In particular: we establish, for recurrence,…

math.DS2024

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…

Questions in linear recurrence: From the T⊕T-problem to lineability

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

Questions in linear recurrence: From the $T \oplus T$ -problem to lineability

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