Results 11 to 20 of about 10,950 (117)
CeiTEA: Adaptive Hierarchy of Single Cells with Topological Entropy [PDF]
Adv Sci (Weinh)Advances in single‐cell RNA sequencing (scRNA‐seq) enable detailed analysis of cellular heterogeneity, but existing clustering methods often fail to capture the complex hierarchical structures of cell types and subtypes.
Bowen Tan +3 more
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Weighted topological entropy of random dynamical systems [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2022 Let $f_{i},i=1,2$ be continuous bundle random dynamical systems over an ergodic compact metric system $(\Omega,\mathcal{F},\mathbb{P},\vartheta)$. Assume that ${\bf a}=(a_{1},a_{2})\in\mathbb{R}^{2}$ with $a_{1}>0$ and $a_{2}\geq0$, $f_{2}$ is a factor ...
Kexiang Yang +3 more
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Entropy stability and Milnor–Thurston invariants for Bowen–Series-like maps [PDF]
Ergodic Theory and Dynamical Systems, 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.
L. Alsedà +3 more
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Relative Topological Entropy for Actions of Non-discrete Groups on Compact Spaces in the Context of Cut and Project Schemes [PDF]
Journal of Dynamics and Differential Equations, 2020 In the study of aperiodic order via dynamical methods, topological entropy is an important concept. In this paper, parts of the theory, like Bowen’s formula for fibre wise entropy or the independence of the definition from the choice of a Van Hove ...
T. Hauser
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Packing topological entropy for amenable group actions [PDF]
Ergodic 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
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, 2023 Ovadia and Rodriguez-Hertz (Neutralized local entropy, arXiv:2302.10874) defined the neutralized Bowen open ball for an autonomous dynamical system on a compact metric space. Replacing the usual Bowen open ball with neutralized Bowen open ball, we introduce the notions of neutralized Bowen topological entropy of subsets, neutralized weighted Bowen ...
Sarkooh, Javad Nazarian +3 more
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Topological Entropy for Arbitrary Subsets of Infinite Product Spaces [PDF]
Journal of dynamical and control systems, 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.
M. M. Sadr, M. Shahrestani
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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).
Andrzej Bi's +3 more
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Topological entropy of nonautonomous dynamical systems [PDF]
Journal of Differential Equations, 2019 Let $\mathcal{M}(X)$ be the space of Borel probability measures on a compact metric space $X$ endowed with the weak$^\ast$-topology. In this paper, we prove that if the topological entropy of a nonautonomous dynamical system $(X,\{f_n\}_{n=1}^{+\infty})$
Kairan Liu, Yixiao Qiao, Leiye Xu
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Domain Wall Topological Entanglement Entropy. [PDF]
Physical Review Letters, 2020 We study the ground-state entanglement of gapped domain walls between topologically ordered systems in two spatial dimensions. We derive a universal correction to the ground-state entanglement entropy, which is equal to the logarithm of the total quantum
Bowen Shi, Isaac H. Kim
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