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Semigroups of chaotic operators
Author(s) -
Bayart Frédéric,
Bermúdez Teresa
Publication year - 2009
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdp055
Subject(s) - chaotic , mathematics , operator (biology) , unimodular matrix , pure mathematics , chaotic systems , algebra over a field , computer science , artificial intelligence , biochemistry , chemistry , repressor , transcription factor , gene
We prove the existence of chaotic semigroups of operators that do not contain any chaotic operator. In particular, we obtain a chaotic operator T such that λ T is not chaotic for some unimodular complex number λ.