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Strong topological transitivity, hypermixing, and their relationships with other dynamical properties

Involve. A Journal of Mathematics, 2023
Recently, two stronger versions of dynamical properties have been introduced and investigated: strong topological transitivity, which is a stronger version of the topological transitivity property, and hypermixing, which is a stronger version of the ...
I. Curtis   +6 more
semanticscholar   +1 more source

Conceptions of topological transitivity

open access: yesTopology and Its Applications, 2012
There are several different common definitions of a property in topological dynamics called "topological transitivity," and it is part of the folklore of dynamical systems that under reasonable hypotheses, they are equivalent. Various equivalences are proved in different places, but the full story is difficult to find.
Ethan Akin
exaly   +4 more sources

A Note on Topological and Strict Transitivity

Iranian Journal of Science and Technology, Transactions A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Ansari   +3 more
semanticscholar   +3 more sources

Spectral characterization of weak topological transitivity

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2011
Wolfgang Desch
exaly   +2 more sources

Some stronger forms of topological transitivity and sensitivity for a sequence of uniformly convergent continuous maps

, 2020
Let ( H , d ) be a metric space, F be a Furstenberg family, and ( g m ) m ∈ Z + be a sequence of continuous map on H, which converges uniformly to a map g on H.
Risong Li   +3 more
semanticscholar   +1 more source

Topological transitivity and mixing of composition operators

Journal of Mathematical Analysis and Applications, 2018
Let X = ( X , B , μ ) be a σ-finite measure space and f : X → X be a measurable transformation such that the composition operator T f : φ ↦ φ ∘ f is a bounded linear operator acting on L p ( X , B , μ ) , 1 ≤ p ∞ .
F. Bayart, U. Darji, B. Pires
semanticscholar   +1 more source

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