Recent developments in hypercyclicity.
Karl-Goswin Grosse-Erdmann (2003)
RACSAM
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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?