Results 1 to 10 of about 422,054 (167)
Some characterizations of disjoint topological transitivity on Orlicz spaces
Journal of Inequalities and Applications, 2018 In this paper, we study the disjointness of topological transitivity on Orlicz spaces endowed with the Orlicz norm. We first give the characterization for weighted translations to be topologically transitive.
Wei-Shih Du +2 more
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Axioms, 2015 Currently, there is great renewed interest in proving the topological transitivity of various classes of continuous dynamical systems. Even though this is one of the most basic dynamical properties that can be investigated, the tools used by various ...
Viorel Nitica, Andrei Torok
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Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces
Journal of Function Spaces, 2021 In this paper, we investigate topological transitivity of operators on nonseparable Hilbert spaces which are similar to backward weighted shifts.
Andriy Zagorodnyuk, Zoriana Novosad
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Revisiting variations in topological transitivity [PDF]
European Journal of Mathematics, 2019 Topological dynamical systems ( X , T ) are actions $$T\,{ \times }\, X \rightarrow X$$ T × X → X , given as $$(t, x) \mapsto tx$$ ( t , x ) ↦ t x , on a compact Hausdorff topological space X with T an acting group or monoid. We consider the property of
Anima Nagar
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International Journal of Computer Mathematics, 2003 We give a computable condition for topological transitivity and topological mixing of subshifts of finite type. An algorithmizable method for computing a spectral decomposition of a subshift of finite type is also presented.
Marcin Kulczycki
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Topological transitivity of Kan-type partially hyperbolic diffeomorphisms [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2023 We present the topological transitivity of a class of diffeomorphisms on the thickened torus, including the partially hyperbolic example introduced by Ittai Kan in 1994, which is well known for the first systems with the intermingled basins phenomenon.
Mingyang Xia
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Conceptions of Topological Transitivity on Symmetric Products
Mathematica Pannonica, 2021 Let X be a topological space. For any positive integer n, we consider the n-fold symmetric product of X, ℱn(X), consisting of all nonempty subsets of X with at most n points; and for a given function ƒ : X → X, we consider the induced functions ℱn(ƒ): ℱn(
Franco Barragán, S. Macías, A. Rojas
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Topological transitivity in quasi-continuous dynamical systems [PDF]
, 2020 A quasi-continuous dynamical system is a pair $(X,f)$ consisting of a topological space $X$ and a mapping $f: X\to X$ such that $f^n$ is quasi-continuous for all $n \in \mathbb N$, where $\mathbb N$ is the set of non-negative integers.
Jiling Cao, A. McCluskey
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Topological transitivity of the normalized maps induced by linear operators
Applied General Topology, 2022 In this article, we provide a simple geometric proof of the following fact: The existence of transitive normalized maps induced by linear operators is possible only when the underlying space's real dimension is either 1 or 2 or infinity. A similar result
Pabitra Narayan Mandal
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Topological transitivity of translation operators in a non-separable Hilbert space
Karpatsʹkì Matematičnì Publìkacìï, 2023 We consider a Hilbert space of entire analytic functions on a non-separable Hilbert space, associated with a non-separable Fock space. We show that under some conditions operators, like the differentiation operators and translation operators, are ...
Z.H. Novosad
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