Displaying similar documents to “Multiplicative sequences for universal sequences of mappings.”

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?

Small sets and hypercyclic vectors

Frédéric Bayart, Étienne Matheron, Pierre Moreau (2008)

Commentationes Mathematicae Universitatis Carolinae

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We study the ``smallness'' of the set of non-hypercyclic vectors for some classical hypercyclic operators.