Burke, JohnPinheiro, Leonardo2022-05-252022-05-252022-04-011576-9402https://riunet.upv.es/handle/10251/182894[EN] In this paper we study the dynamics of continuous endomorphisms on Polish groups. We offer necessary and sufficient conditions for a continuous endomorphism on a Polish group to be weakly mixing. We prove that any continuous endomorphism of an abelian Polish group can be extended in a natural way to a topologically mixing endomorphism on the countable infinite product of said group.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Weak mixingPolish groupHypercyclicity criterionTopologically mixing extensions of endomorphisms on Polish groupsArtÃculo10.4995/agt.2022.15187Abierto1989-4147