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math.FA2019
Chaos and frequent hypercyclicity for weighted shifts
Stéphane Charpentier, Karl Grosse-Erdmann, Quentin Menet
Bayart and Ruzsa [Ergodic Theory Dynam. Systems 35 (2015)] have recently shown that every frequently hypercyclic weighted shift on is chaotic. This contrasts with an earli…
math.CV2019
Construction of labyrinths in pseudoconvex domains
Stéphane Charpentier, Łukasz Kosiński
We build in a given pseudoconvex (Runge) domain of a convex set , every connected component of which is a holomorphically contractible (convex…
math.CV2019
Wild boundary behaviour of holomorphic functions in domains of
Stéphane Charpentier, Łukasz Kosiński
Given a domain of holomorphy in , , we show that the set of holomorphic functions in whose cluster sets along any finite length paths to the boundary…