Results 91 to 100 of about 131 (122)

Growth of hypercyclic functions: a continuous path between $\mathcal{U}$-frequent hypercyclicity and hypercyclicity

Proceedings of the Edinburgh Mathematical Society
AbstractWe are interested in the optimal growth in terms of Lp-averages of hypercyclic and $\mathcal{U}$-frequently hypercyclic functions for some weighted Taylor shift operators acting on the space of analytic functions on the unit disc. We unify the results obtained by considering intermediate notions of upper frequent hypercyclicity between ...
Mouze, Augustin, Munnier, Vincent
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Hypercycles, parasites and packages

Journal of Theoretical Biology, 1980
Abstract The hypercycle model considers a functional rather than spatial coupling of primitive tRNA molecules the essential phenomenon at the origin of life. We will critically discuss this model with special regard to the problems of selecting for functionally improved mutant molecules.
C, Bresch, U, Niesert, D, Harnasch
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On Hypercyclicity of Linear Relations

Results in Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abakumov, Evgeny, Boudabbous, Mahdi, Mnif, Maher   +2 more
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Syndetically Hypercyclic Operators

Integral Equations and Operator Theory, 2005
A sequence \((T_n)_{n\geq 0}\) of bounded operators on a separable \(\mathcal{F}\)-space \(X\) is hypercyclic if there exists a vector \(x\) in \(X\) such that the set \(\{T_n x \; ; \; n\geq 0\}\) is dense in \(X\). An operator \(T\) on \(X\) is hypercyclic if the sequence \((T^n)_{n\geq 0}\) of its powers is hypercyclic.
Peris, Alfredo, Saldivia, Luis
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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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Hypercycles

1994
Abstract We now return to the problem last mentioned in Chapter 2: how can we devise a model in which more information than that contained in single 100-base RNA molecules can be maintained over many generations? There are two main approaches that have been taken to this problem.
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A strictly weakly hypercyclic operator with a hypercyclic subspace

Journal of Operator Theory
An interesting topic of study for a hypercyclic operator T:X→X on a topological vector space X has been whether X has an infinite\hyp{}dimensional, closed subspace consisting entirely, except for the zero vector, of hypercyclic vectors of T. These subspaces are called hypercyclic subspaces. It has been known that there is an operator T:H→H on a Hilbert
Chan, Kit C., Madarasz, Zeno
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The Abstract Hypercycle

1979
Topologic methods are used to characterize a particular class of self-replicative reaction networks: the hypercycles. The results show that the properties of hypercycles are sufficient for a stable integration of the information contained in several self-replicative units.
Manfred Eigen, Peter Schuster
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The Hypercycle

Naturwissenschaften, 1978
Eigen, Manfred, Schuster, Peter
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Hypercyclic, q‐hypercyclic, and π‐hypercyclic rings

2012
S. K. Jain, Ashish K. Srivastava, Askar A. Tuganbaev   +2 more
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