Common frequently hypercyclic random vectors
Functional Analysis
2026-05-08 v1
Abstract
We study common frequently hypercyclic vectors for countable families of weighted backward shifts acting on spaces, . Using probabilistic techniques, we develop a general existence criterion, complemented by a non-existence result. These insights are then applied to the specific setting of countable families of polynomials of weighted backward shifts, providing conditions under which they share a common frequently hypercyclic vector.
Cite
@article{arxiv.2605.06573,
title = {Common frequently hypercyclic random vectors},
author = {Augustin Mouze and Vincent Munnier},
journal= {arXiv preprint arXiv:2605.06573},
year = {2026}
}