Unimodular eigenvalues, uniformly distributed sequences and linear dynamics

By Catalin Badea, S. Grivaux. 2007

62 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e634f7eb6993da7d116abd24d81504212a9557e4

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In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Hypercyclic behaviour of operators in a hypercyclic C 0 -semigroup (2007, background): “1 The first and third authors were supported in part by MEC and FEDER, Project MTM2004-02262 and Research Net MTM2006-26627-E 2 The second author was partially supported by grant No. 201/06/0128 of GA ČR”
Hilbertian Jamison sequences and rigid dynamical systems (2011, background): “uld enable us to check easily whether a given sequence (nk)k≥0 is a rigidity sequence. It is the second aim of this paper to provide such conditions. Some of them can be initially found in the papers [1] and [2] which study Jamison sequences in the Banach space setting, and they turn out to be relev”
Recurrence properties of hypercyclic operators (2014, unknown): “See also [1].”
Linear chaos and frequent hypercyclicity (2014, background): “Moreover, there are no other implications since there exist: • a weakly mixing weighted shift on p which is not mixing [18], • a chaotic operator which is not mixing [2], • a frequently hypercyclic weighted shift on c0 which is neither chaotic nor mixing [5], • a hypercyclic operator which is not we”
Mixing operators and small subsets of the circle (2011, background): “is also worth pointing out that there exist Hilbert space operators which are weakly mixing in the Gaussian sense but not even strongly mixing in the topological sense. Indeed, in the beautiful paper [3], C. Badea and S. Grivaux are able to construct a weakly mixing operator MIXING OPERATORS AND SMA”