Results 11 to 20 of about 219 (133)
Weakly fuzzy topological entropy [PDF]
, 2022 summary:In 2005, İ. Tok fuzzified the notion of the topological entropy R. A. Adler et al. (1965) using the notion of fuzzy compactness of C. L. Chang (1968).
Afsan, B M Uzzal
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CeiTEA: Adaptive Hierarchy of Single Cells with Topological Entropy. [PDF]
Adv Sci (Weinh)CeiTEA, a novel hierarchical clustering algorithm based on topological entropy, effectively captures complex structures underlying data. By constructing an adaptive multi‐nary partition tree, CeiTEA reveals hierarchical structures and local diversifications, outperforming existing methods in clustering accuracy and consistency and providing the ...
Tan B, Li S, Wang M, Li SC.
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Metric Versus Topological Receptive Entropy of Semigroup Actions [PDF]
, 2021 We study the receptive metric entropy for semigroup actions on probability spaces, inspired by a similar notion of topological entropy introduced by Hofmann and Stoyanov (Adv Math 115:54–98, 1995).
Giordano Bruno A. +3 more
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Variational principle for non-additive neutralized Bowen topological pressure
, 2023 Ovadia and Rodriguez-Hertz \cite{OH} defined the neutralized Bowen open ball as $$B_n(x,e^{-n\varepsilon}) = \{y\in X:d(T^j(x),T^j(y)) < e^{-n\varepsilon}, \forall 0\leq j\leq n-1\}.$$ Yang, Chen and Zhou \cite{YCZ} introduced the notion of neutralized ...
Qu, Congcong, Xu, Lan
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Non-unique topological sofic entropy and a von Neumann algebra multiplicative ergodic theorem [PDF]
, 2021 A sofic approximation to a countable group is a sequence of partial actions on finite sets that asymptotically approximates the action of the group on itself by left-translations. A group is sofic if it admits a sofic approximation.
Lin, Yuqing, Ph. D.
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On Families of Bowen – Series-Like Maps for Surface Groups [PDF]
, 2023 Altres ajuts: CERCA Programme/Generalitat de CatalunyaWe review some recent results on a class of maps, called Bowen - Series-like maps, obtained from a class of group presentations for surface groups.
Jérôme Los +7 more
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Entropy stability and Milnor-Thurston invariants for Bowen-Series-like maps
, 2023 We define a family of discontinuous maps on the circle, called Bowen-Series-like maps, for geometric presentations of surface groups. The family has $2N$ parameters, where $2N$ is the number of generators of the presentation.
Manosas, Francesc +7 more
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Topological Entropy for Arbitrary Subsets of Infinite Product Spaces
, 2020 In this note a notion of generalized topological entropy for arbitrary subsets of the space of all sequences in a compact topological space is introduced. It is shown that for a continuous map on a compact space the generalized topological entropy of the
Shahrestani, Mina, Sadr, Maysam Maysami
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Entropy theory for locally compact sofic groups [PDF]
, 2017 In the past decade entropy theory for the actions of countable sofic groups has been developed starting with the work of Bowen[2010] and its extension by Kerr-Li[2011].
Singh, Sukhpreet
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Mechanisms of Alkali Ionic Transport in Amorphous Oxyhalides Solid State Conductors
Advanced Energy Materials, EarlyView.Large‐scale machine learning‐based molecular dynamics simulations are used to investigate isovalent amorphous oxyhalides, revealing a remarkable chemically independent ionic conductivity. A rigorous analysis of alkali residence times across different metal–anion environments identifies divalent anions as key diffusion bottlenecks.
Luca Binci +3 more
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