Results 61 to 70 of about 522,604 (195)
Topological entropy of maps on regular curves [PDF]
, 2007 In [G.T. Seidler, The topological entropy of homeomorphisms on one-dimensional continua, Proc. Amer. Math. Soc. 108 (1990) 1025–1030], G.T. Seidler proved that the topological entropy of every homeomorphism on a regular curve is zero. Also, in [H.
Kato, Hisao
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Frontiers in PhysicsThe Koch network, as a typical fractal network, exhibits unique topological characteristics and serves as an important model in complex network studies.
Xiu-Jian Wang, Xiaohong Dong, Jiadong Si
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Entropy and topology for gravitational instantons [PDF]
Physical Review D, 1997 In this work a relation between topology and thermodynamical features of gravitational instantons is shown. The expression for the Euler characteristic, through the Gauss-Bonnet integral, and the one for the entropy of gravitational instantons are proposed in a form that makes the relation between them self-evident.
Liberati, Stefano, GIUSEPPE POLLIFRONE
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Computing the topological entropy of shifts
Mathematical Logic Quarterly, 2007 AbstractDifferent characterizations of classes of shift dynamical systems via labeled digraphs, languages, and sets of forbidden words are investigated. The corresponding naming systems are analyzed according to reducibility and particularly with regard to the computability of the topological entropy relative to the presented naming systems.
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Topological sequence entropy of nonautonomous dynamical systems [PDF]
, 2023 Let $f_{0,\infty}=\{f_n\}_{n=0}^{\infty}$ be a sequence of continuous self-maps on a compact metric space $X$. Firstly, we obtain the relations between topological sequence entropy of a nonautonomous dynamical system $(X,f_{0,\infty})$ and that of its ...
Shao, Hua
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Experimental observation of classical analogy of topological entanglement entropy
Nature Communications, 2019 The experimental observation of topological entanglement entropy (TEE) remains a challenge. Here, authors propose a scheme and experimentally construct classical analogs of minimum entropy states to simulate nontrivial topological orders by observing the
Tian Chen +6 more
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Topological sequence entropy for maps of the circle [PDF]
, 2000 summary:A continuous map $f$ of the interval is chaotic iff there is an increasing sequence of nonnegative integers $T$ such that the topological sequence entropy of $f$ relative to $T$, $h_T(f)$, is positive ([FS]). On the other hand, for any increasing
Hric, Roman
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European Physical Journal C: Particles and FieldsIn this paper, we study the thermodynamic topology of AdS Einstein–power–Yang–Mills black holes, examining them through both the bulk-boundary and restricted phase space (RPS) frameworks. We consider various non-extensive entropy models, including Barrow
Saeed Noori Gashti +2 more
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Topological and metric entropy for group and semigroup actions
Topological Algebra and its Applications, 2019 It is well-known that the classical definition of topological entropy for group and semigroup actions is frequently zero in some rather interesting situations, e.g. smooth actions of ℤk+ (k >1) on manifolds.
Stoyanov Luchezar
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Entanglement entropy in integrable field theories with line defects. Part I. Topological defect
Journal of High Energy Physics, 2017 In this paper and a companion one [1], we study the effect of integrable line defects on entanglement entropy in massive integrable field theories in 1+1 dimensions. The current paper focuses on topological defects that are purely transmissive. Using the
Yunfeng Jiang
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