Recent developments in hypercyclicity

摘要

En estas notas informamos acerca de progresos recientes en la teoria de operadores hipercfclicos y caoticos. Nuestro estudio ha sido guiado por los siguientes problemas: Cômo recono-cemos los operadores hipercfclicos? Cuântos vectores son hipercfclicos? Cuantos operadores son hipercfclicos? Qué tamano tienen las orbitas no densas?%In these notes we report on recent progress in the theory of hypercyclic and chaotic operators. Our discussion will be guided by the following fundamental problems: How do we recognize hypercyclic operators? How many vectors are hypercyclic? How many operators are hypercyclic? How big can non-dense orbits be?