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Revisiting variations in topological transitivity [PDF]
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Conceptions of topological transitivity
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.
Akin, Ethan, Carlson, Jeffrey D.
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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 Török
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Topological Transitions in Metamaterials [PDF]
Manipulating Optical TopologyPhase transitions in solid-state systems are often associated with a drastic change in the properties of that system. For example, metal-to-insulator transition or magnetic-to-nonmagnetic states find wide application in memory storage technology.
Krishnamoorthy, Harish N.S. +4 more
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Topological Transitivity of Shift Similar Operators on Nonseparable Hilbert Spaces
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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Multicritical Fermi Surface Topological Transitions [PDF]
A wide variety of complex phases in quantum materials are driven by electron-electron interactions, which are enhanced through density of states peaks. A well known example occurs at van Hove singularities where the Fermi surface undergoes a topological transition.
Dmitry V. Efremov +5 more
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Network topology has significant impacts on operational performance of power systems. While extensive research efforts have been devoted to optimization of network topology for improving various system performances, the problem of how to transition from the initial topology to the desired optimal topology requires study.
Tong Han, David J. Hill, Yue Song
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Topological transitivity of translation operators in a non-separable Hilbert space
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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Topological quantum phase transitions in topological superconductors [PDF]
5 pages, no ...
DIAMANTINI, MARIA CRISTINA +2 more
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The topology transition problem of transmission networks is becoming increasingly crucial with topological flexibility more widely leveraged to promote high renewable penetration. This paper proposes a novel methodology to address this problem. Aiming at achieving a bumpless topology transition regarding both static and dynamic performance, this ...
Tong Han, Yue Song, David J. Hill
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