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Topological Defects and Topological Phase Transitions

2021
As was seen in Chap. 8 many bulk states of matter exhibit a, partial or full, orientational and/or translational order. Until now this order has always been considered to be perfect although in practice, many bulk phases exhibit defects, i.e., domains where this order departs from the one originally postulated.
Marc Baus, Carlos F. Tejero
openaire   +1 more source

Revealing the Role of Topological Transitivity in Efficient Trust and Reputation System in Smart Metering Network

IEEE International Conference on Data Science and Data Intensive Systems, 2015
Trust and reputation management represents a significant trend in tackling the security problems in computer networks. The basic idea is to let machines rate each other and then use the aggregated ratings to derive trust scores, which can assist machines
A. Bello   +3 more
semanticscholar   +1 more source

Topological Transitivity on the Torus

Canadian Mathematical Bulletin, 1994
AbstractT. Ding has shown that a topologically transitive flow on the torus given by a real analytic vector field is orbitally equivalent to a Kronecker flow on the torus, modified so as to have a finite number of fixed points, provided the original flow had only a finite number of fixed points.
openaire   +2 more sources

Transition to Topology

1997
We start working on the program that was indicated in the preceding chapter: We wish to reorganize and extend the theory of metric spaces, suppressing the metric and emphasizing the collection of the open sets. There will be much talk of convergence of nets. In case you are still wary of nets, you can mitigate the culture shock by mentally substituting
Gerard Buskes, Arnoud van Rooij
openaire   +1 more source

Transitive Maps on Topological Spaces

Ukrainian Mathematical Journal, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolyada, S., Bilokopytov, I.
openaire   +2 more sources

Topological quantum phase transitions of topological Euler insulators

Journal of Physics: Condensed Matter
Abstract For two-dimensional topological band models, the Euler number is a topological invariant to characterize the non-trivial interband topology for adjacent two bands with real eigenstates in the presence of the combined parity and time-reversal symmetry, which is different from the Chern number to characterize the single-band ...
Ming-Da Dai   +3 more
openaire   +2 more sources

Revisiting variations in topological transitivity

European Journal of Mathematics, 2021
Anima Nagar, Nagar Anima
exaly  

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