Results 91 to 100 of about 131 (122)
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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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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, 1980Abstract 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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Syndetically Hypercyclic Operators
Integral Equations and Operator Theory, 2005A 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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a-Weyl’s theorem and hypercyclicity
Monatshefte Fur MathematikzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaohong Cao, , Cao Xiaohong
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A strictly weakly hypercyclic operator with a hypercyclic subspace
Journal of Operator TheoryAn 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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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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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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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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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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1983
The information-integrating properties of the hypercycle make it almost inevitable that something of this kind was the forerunner of the protocell. However, as we have seen in the previous chapter, there are considerable problems connected with the question of how hypercycles themselves arose.
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The information-integrating properties of the hypercycle make it almost inevitable that something of this kind was the forerunner of the protocell. However, as we have seen in the previous chapter, there are considerable problems connected with the question of how hypercycles themselves arose.
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