Results 21 to 30 of about 422,054 (167)
Percolation transition in a topological phase
Physical Review B, 2023 Transition out of a topological phase is typically characterized by discontinuous changes in topological invariants along with bulk gap closings. However, as a clean system is geometrically punctured, it is natural to ask the fate of an underlying topological phase. To understand this physics we introduce and study both short and long-ranged toy models
Saikat Mondal +2 more
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Generalized topological transition matrix [PDF]
Topological Methods in Nonlinear Analysis, 2016 This article represents a major step in the unification of the theory of algebraic, topological and singular transition matrices by introducing a definition which is a generalization that encompasses all of the previous three. When this more general transition matrix satisfies the additional requirement that it covers flow-defined Conley-index ...
Franzosa, Robert +2 more
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Entropy, topological transitivity, and dimensional properties of unique đ-expansions [PDF]
Transactions of the American Mathematical Society, 2016 Let M M be a positive integer and q â ( 1 , M + 1 ] . q \in (1,M+1].
Rafael Alcaraz Barrera +2 more
semanticscholar +1 more source
Conceptions on topological transitivity in products and symmetric products
Turkish Journal of Mathematics, 2020 Having a finite number of topological spaces Xi and functions fi : Xi â Xi , and considering one of the following classes of functions: exact, transitive, strongly transitive, totally transitive, orbit-transitive, strictly orbittransitive, Ï-transitive ...
A. Rojas, Franco BarragĂĄn, S. MacĂas
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PERCOLATION TRANSITION AND TOPOLOGY
Image Analysis & Stereology, 2017 A number of bidimensional random structures with increasing densities are simulated to explore possible links between Euler-Poincaré characteristic (EPC), or connectivity, and percolation threshold. For each structure model, the percolation threshold is compared with a number of typical points (extrema, zero crossings...) of the EPC curve.
Jouannot-Chesney, Patricia +2 more
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Topological theory of phase transitions
Journal of Physics A: Mathematical and Theoretical, 2022 AbstractThe investigation of the Hamiltonian dynamical counterpart of phase transitions, combined with the Riemannian geometrization of Hamiltonian dynamics, has led to a preliminary formulation of a differential-topological theory of phase transitions.
Gori, M. +3 more
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Lifting Dynamical Properties to Hyperspaces
Applied General Topology, 2014 For a dynamical system (X,f), the passage of various dynamical properties such as transitivity, total transitivity, weakly mixing, mixing, topological exactness, topological conjugacy, to the hyperspace C(X) of X consisting of nonempty closed connected ...
Dania Masood, Pooja Singh
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Dynamical property of hyperspace on uniform space
Demonstratio Mathematica, 2023 First, we introduce the concepts of equicontinuity, expansivity , ergodic shadowing property, and chain transitivity in uniform space. Second, we study the dynamical properties of equicontinuity, expansivity , ergodic shadowing property, and chain ...
Ji Zhanjiang
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Glass transition as a topological phase transition
Physical Review E, 2022 The glass transition is considered as a phase transition in the system of topologically protected excitations in matter structure. The critical behavior of the system is considered both in statics and dynamics cases. It is shown in the simple model describing the topological defects system in the elastic medium with non-zero shear modulus, most of ...
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Semigroup Actions on Intuitionistic Fuzzy Metric Spaces
Advances in Fuzzy Systems, 2009 This paper investigates the dynamical systems in the context of topological semigroup actions on intuitionistic fuzzy metric spaces. We give some concepts such as topological transitivity, point transitivity, and densely point transitivity for such ...
Yaoyao Lan, Qingguo Li
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