Valentin Gillet

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20242026

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math.DS2025

Linear dynamics of random products of weighted shifts

Valentin Gillet

The aim of this article is to study the dynamics of random products of weighted shifts on a separable Fréchet sequence space. That is, given a measure-preserving dynamical system $…

math.FA2025

Linear dynamics of random products of operators

Valentin Gillet

We study the linear dynamics of the random sequence $(T_{n} (.))_{n \geq 1}$ of the operators $T_{n} (ω) = T (τ^{n - 1} ω) \dots T (τ ω) T (ω), n \geq 1$ . These products depend on an ergodic m…