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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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Australas. J Comb., 2020 Summary: The 3-uniform cycle of length 5 has five vertices \(a, b, c, d, e\) and five 3-element edges \(abc\), \(bcd\), \(cde\), \(dea\), \(eab\). Similarly, an \(r\)-uniform \(k\)-cycle has \(k\) vertices arranged in a cyclic order, and \(k\) edges which are the \(r\)-element subsets formed by any \(r\) consecutive vertices.
Mario Gionfriddo +2 more
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On the evolution of hypercycles
Mathematical Biosciences, 2018In this study, we examine the process of fitness landscape evolution of the hypercycle system. We assume that the parameters that define the fitness landscape change in order to maximize the mean fitness of the system. The environmental influence is expressed as resource limitation: we formalize it as a restriction on the fitness matrix coefficients ...
Alexander S. Bratus +2 more
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EVERY WEAKLY SEQUENTIALLY HYPERCYCLIC SHIFT IS NORM HYPERCYCLIC
Mathematical Proceedings of the Royal Irish Academy, 2005The author show that a bilateral weighted shift on \(\ell^p(\mathbb Z)\) is weakly sequentially supercyclic if and only if it is norm hypercyclic. In particular, it also follows that they are weakly sequentially hypercyclic if and only if they are hypercyclic.
Bès, Juan +2 more
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Multi-hypercyclic operators are hypercyclic
Mathematische Zeitschrift, 2001An operator \(T\) on a separable complex Hilbert space \(\mathcal H\) space is said to be hypercyclic if there is a vector \(x\) such that the orbit \(\{T^nx: n=0,1,\ldots\}\) is dense in \(\mathcal H\). An operator is said to be supercyclic if there is a vector \(x\) such that the scalar multiples of the elements in the orbit are dense in \(\mathcal H\
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Origins of life and evolution of the biosphere, 1999
Several hypotheses on the origin of codon assignments imply that the present protein synthesizing machinery was already in place when the assignments were made. These are examined by computer modeling. The results do not suggest that assignments were optimized for resistance to reading and mutation errors, nor that the assignments are random.
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Several hypotheses on the origin of codon assignments imply that the present protein synthesizing machinery was already in place when the assignments were made. These are examined by computer modeling. The results do not suggest that assignments were optimized for resistance to reading and mutation errors, nor that the assignments are random.
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Journal of Theoretical Biology, 1988
Demonstration du caractere errone d'un modele de croissance de la paroi cellulaire des ...
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Demonstration du caractere errone d'un modele de croissance de la paroi cellulaire des ...
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Hypercycles and the origin of life
Nature, 1979Perhaps the most difficult step to explain in the origin of life is that from the replication of molecules (RNA for example) in the absence of specific proteins, to the appearance of polymerases and other proteins involved in the replication of RNA and themselves coded for by that RNA.
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Common Hypercyclic Vectors and the Hypercyclicity Criterion
Integral Equations and Operator Theory, 2009An operator on a separable, infinite dimensional Banach space satisfies the Hypercyclicity Criterion if and only if the associated left multiplication operator is hypercyclic; see [14], [16], [29]. By examining paths of operators where each operator along the path satisfies the criterion, we provide necessary and sufficient conditions for a path of ...
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