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math.DS2015
Chaos and Indecomposability
Udayan B. Darji, Hisao Kato
We use recent developments in local entropy theory to prove that chaos in dynamical systems implies the existence of complicated structure in the underlying space. Earlier Mouron p…
math.FA2015
Rolewicz-type chaotic operators
D. Bongiorno, U. B. Darji, L. Di Piazza
In this article we introduce a new class of Rolewicz-type operators in l_p, . We exhibit a collection F of cardinality continuum of operators of this type which a…