Results 31 to 40 of about 1,819 (220)
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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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 transitivity of Kan-type partially hyperbolic diffeomorphisms
, 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 ...
Xia, Mingyang
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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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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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Non-normality, topological transitivity and expanding families
, 2022 peer reviewedWe investigate the behaviour of families of meromorphic functions in the neighbourhood of points of non-normality and prove certain covering properties that complement Montel’s Theorem.
MEYRATH, Thierry, Müller, Jürgen
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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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