Results 41 to 50 of about 106 (90)
Common hypercyclic vectors for certain families of differential operators [PDF]
Illinois Journal of Mathematics, 2016 Let (k(n)) n=1,2,... be a strictly increasing sequence of positive integers . We consider a specific sequence of differential operators Tk(n),λ , n=1,2,... on the space of entire functions , that depend on the sequence (k(n)) n=1,2,... and the non-zero complex number λ .
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Invariant manifolds of hypercyclic vectors for the real scalar case [PDF]
Proceedings of the American Mathematical Society, 1999 We show that every hypercyclic operator on a real locally convex vector space admits a dense invariant linear manifold of hypercyclic vectors.
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An operator on a separable Hilbert space with many hypercyclic vectors [PDF]
Studia Mathematica, 1987 Let T be a linear continuous operator acting in a Hilbert space H. A point \(x_ 0\in H\) is said to be cyclic if \(H=span(x_ 0,Tx_ 0,T\) \(2x_ 0,...)\) and hypercyclic if the orbit \((x_ 0,Tx_ 0,T\) \(2x_ 0,...)\) is dense in H. There is given a construction of a separable Hilbert space H (over complexes) and an operator T with a cyclic vector \(x_ 0\)
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Common frequently hypercyclic random vectors
We study common frequently hypercyclic vectors for countable families of weighted backward shifts acting on $\ell_p$ spaces, $1\leq p<\infty$. Using probabilistic techniques, we develop a general existence criterion, complemented by a non-existence result.
Mouze, Augustin, Munnier, Vincent
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Frequently hypercyclic random vectors for $C_{0}$ -semigroups
Ergodic Theory and Dynamical SystemsAbstract We show that, under certain conditions, a strongly continuous semigroup admits an almost surely frequently hypercyclic random vector defined as a stochastic integral in Fréchet spaces with respect to the Brownian motion. Two criteria are given.
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Luh hypercyclic vector for composition operator
In this paper, we deal with the construction of holomorphic functions on a simply connected domain satisfying that all its derivatives and antiderivatives under a composition operator have a dense orbit. Such functions will be called Luh hypercyclic vectors for the respective composition operator.
Benchiheb, Otmane +3 more
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On the complexity of upper frequently hypercyclic vectors
Given a continuous linear operator $T:X\to X$, where $X$ is a topological vector space, let $\mathrm{UFHC}(T)$ be the set of upper frequently hypercyclic vectors, that is, the set of vectors $x \in X$ such that $\{n \in ω: T^nx \in U\}$ has positive upper asymptotic density for all nonempty open sets $U\subseteq X$.
Glab, Szymon, Leonetti, Paolo
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Entropic Analysis of Mirror Symmetry Breaking in Chiral Hypercycles. [PDF]
Life (Basel), 2019 Hochberg D, Ribó JM.
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Existence of common hypercyclic vectors for translation operators
, 2014 We prove the existence of common hypercyclic, entire functions for certain families of translation operators.
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