Results 21 to 30 of about 740,617 (344)

New approach to weighted topological entropy and pressure [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2021
Motivated by fractal geometry of self-affine carpets and sponges, Feng and Huang [J. Math. Pures Appl. 106(9) (2016), 411–452] introduced weighted topological entropy and pressure for factor maps between dynamical systems, and proved variational ...
M. Tsukamoto
semanticscholar   +1 more source

Hofer's geometry and topological entropy [PDF]

open access: yesCompositio Mathematica, 2021
In this paper we study persistence features of topological entropy and periodic orbit growth of Hamiltonian diffeomorphisms on surfaces with respect to Hofer's metric.
Arnon Chor, Matthias Meiwes
semanticscholar   +1 more source

Packing topological entropy for amenable group actions [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2020
Packing topological entropy is a dynamical analogy of the packing dimension, which can be viewed as a counterpart of Bowen topological entropy. In the present paper we give a systematic study of the packing topological entropy for a continuous G-action ...
D. Dou, Dongmei Zheng, Xiaomin Zhou
semanticscholar   +1 more source

Topological Properties and Entropy Calculations of Aluminophosphates

open access: yesMathematics, 2023
Topological indices are invariant numerical quantities of a graph that give facts about the structure of graphs and are found to be very helpful in predicting the physical properties of aluminophosphates.
J. S. Vijay   +6 more
semanticscholar   +1 more source

Reeb orbits that force topological entropy [PDF]

open access: yesErgodic Theory and Dynamical Systems, 2020
We develop a forcing theory of topological entropy for Reeb flows in dimension three. A transverse link L in a closed contact $3$ -manifold $(Y,\xi )$ is said to force topological entropy if $(Y,\xi )$ admits a Reeb flow with vanishing topological ...
Marcelo R. R. Alves, A. Pirnapasov
semanticscholar   +1 more source

Topology and topological sequence entropy [PDF]

open access: yesScience China Mathematics, 2019
Let $X$ be a compact metric space and $T:X\longrightarrow X$ be continuous. Let $h^*(T)$ be the supremum of topological sequence entropies of $T$ over all subsequences of $\mathbb Z_+$ and $S(X)$ be the set of the values $h^*(T)$ for all continuous maps $T$ on $X$.
Snoha, L., Ye, X., Zhang, R.
openaire   +4 more sources

Topological Entanglement Entropy [PDF]

open access: yesPhysical Review Letters, 2006
4 pages, 3 eps figures.
John Preskill   +2 more
openaire   +6 more sources

Topological entropy, upper Carath

open access: yesColloquium Mathematicum, 2021
. We study dynamical systems given by the action T : G × X → X of a finitely generated semigroup G with identity 1 on a compact metric space X by continuous selfmaps and with T (1 , − ) = id X .
A. Biś   +3 more
semanticscholar   +1 more source

A Billingsley type theorem for Bowen topological entropy of nonautonomous dynamical systems

open access: yesOpen Mathematics, 2022
This article is devoted to the study of the Bowen topological entropy for nonautonomous dynamical systems, which is an extension of the classical definition of Bowen topological entropy. We show that the Bowen topological entropy can be determined by the
Zhang Bin, Liu Lei
doaj   +1 more source

Topological charge-entropy scaling in kagome Chern magnet TbMn6Sn6 [PDF]

open access: yesNature Communications, 2021
In ordinary materials, electrons conduct both electricity and heat, where their charge-entropy relations observe the Mott formula and the Wiedemann-Franz law.
Xitong Xu   +11 more
semanticscholar   +1 more source

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