Common frequently hypercyclic random vectors
Abstract
We study common frequently hypercyclic vectors for countable families of weighted backward shifts acting on p spaces, 1≤ p<∞. 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.
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