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On Cesaro-Hypercyclic Operators

International Journal of Analysis and Applications
In this paper we characterize some properties of the Cesaro-Hypercyclic and mixing operators. At the same time, we also give a Cesaro-Hypercyclicity criterion and offer an example of this criterion.
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Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems. [PDF]

Life (Basel), 2017
Szilágyi A, Zachar I, Scheuring I, Kun Á, Könnyű B, Czárán T.   +5 more
europepmc   +1 more source

Gradient-Free De Novo Learning. [PDF]

Entropy (Basel)
Friston K, Parr T, Heins C, Da Costa L, Salvatori T, Tschantz A, Koudahl M, Van de Maele T, Buckley C, Verbelen T.   +9 more
europepmc   +1 more source

ON THE HEREDITARILY HYPERCYCLIC OPERATORS

Journal of the Korean Mathematical Society, 2006
Bahman Yousefi, Ali Farrokhinia
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Analytic hypercyclic operators

Matematychni Studii, 2008
Z. H. Mozhyrovska, A. V. Zagorodnyuk
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Disjoint hypercyclic operators [PDF]

Studia Mathematica, 2007
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Numerically Hypercyclic Operators

Integral Equations and Operator Theory, 2012
Sung Guen Kim was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0009854). A. Peris was supported in part by MICINN and FEDER, Project MTM2010-14909, and by Generalitat Valenciana, Project PROMETEO/2008/101.
Kim, Sung Guen, Song, Hyun Gwi, Peris Manguillot, Alfredo   +2 more
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Rotations of Hypercyclic and Supercyclic Operators

Integral Equations and Operator Theory, 2004
A (bounded linear) operator \(T\) on a Banach space \(X\) is called hypercyclic if there is a vector \(x \in X\) such that its orbit \(\{T^n(x) \;| \;n=0,1,2,... \}\) is dense in \(X\); the vector \(x\) is called hypercyclic for \(T\). The operator \(T\) is called supercyclic if \(\{ \alpha T^n(x) \;| \alpha \in \mathbb C, n \in \mathbb N \}\) is dense
Fernando León Saavedra, Vladimir Müller   +1 more
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Powers of Hypercyclic Functions for Some Classical Hypercyclic Operators

Integral Equations and Operator Theory, 2007
We show that no power of any entire function is hypercyclic for Birkhoff’s translation operator on $$\mathcal{H}(\mathbb{C})$$ . On the other hand, we see that the set of functions whose powers are all hypercyclic for MacLane’s differentiation operator is a Gδ ...
R. M. Aron, J. A. Conejero, A. Peris, J. B. Seoane–Sepúlveda   +3 more
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Common hypercyclic vectors for the conjugate class of a hypercyclic operator [PDF]

Journal of Mathematical Analysis and Applications, 2011
Given a separable, infinite dimensional Hilbert space, it was recently shown by the authors that there is a path of chaotic operators, which is dense in the operator algebra with the strong operator topology, and along which every operator has the exact ...
Kit Chan, Rebecca Lynn Sanders
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