Results 1 to 10 of about 339 (176)
Inclusions in a Single Variable in Ultrametric Spaces and Hyers-Ulam Stability [PDF]
The Scientific World Journal, 2013 We present some properties of set-valued inclusions in a single variable in ultrametric spaces. As a consequence, we obtain stability results for the corresponding functional equations.
Magdalena Piszczek
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On Some Model Theoretic Properties of Totally Bounded Ultrametric Spaces
Mathematics, 2022 Continuing investigations initiated by the first author, we associate relational structures for metric spaces and investigate their model theoretic properties. In this paper, we consider ultrametric spaces.
Gábor Sági, Karrar Al-Sabti
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Topological Algebra and its Applications, 2023 In this article, we study the λ\lambda -commuting of bounded linear operators on ultrametric Banach spaces and the determinant spectrum of ultrametric matrices.
Ettayb Jawad
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A cohomology-based Gromov–Hausdorff metric approach for quantifying molecular similarity [PDF]
Scientific ReportsWe introduce a cohomology-based Gromov–Hausdorff ultrametric method to analyze 1-dimensional and higher-dimensional (co)homology groups, focusing on loops, voids, and higher-dimensional cavity structures in simplicial complexes, to address typical ...
JunJie Wee +3 more
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Dendrogramic Representation of Data: CHSH Violation vs. Nonergodicity [PDF]
Entropy, 2021 This paper is devoted to the foundational problems of dendrogramic holographic theory (DH theory). We used the ontic–epistemic (implicate–explicate order) methodology.
Oded Shor +2 more
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An Ultrametric Random Walk Model for Disease Spread Taking into Account Social Clustering of the Population [PDF]
Entropy, 2020 We present a mathematical model of disease (say a virus) spread that takes into account the hierarchic structure of social clusters in a population. It describes the dependence of epidemic’s dynamics on the strength of barriers between clusters.
Andrei Khrennikov, Klaudia Oleschko
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Entropy, 2016 We present a new conceptual approach for modeling of fluid flows in random porous media based on explicit exploration of the treelike geometry of complex capillary networks.
Andrei Khrennikov +2 more
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The Gromov-Hausdorff distance between ultrametric spaces: its structure and computation
Journal of Computational Geometry, 2023 $\DeclareMathOperator{\ugh}{u_\mathrm{GH}}\DeclareMathOperator{\dgh}{d_\mathrm{GH}}$The Gromov-Hausdorff distance ($d_\mathrm{GH}$) provides a natural way of quantifying the dissimilarity between two given metric spaces.
Facundo Mémoli +2 more
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A Simple Proof of Dvoretzky-Type Theorem for Hausdorff Dimension in Doubling Spaces
Analysis and Geometry in Metric Spaces, 2022 The ultrametric skeleton theorem [Mendel, Naor 2013] implies, among other things, the following nonlinear Dvoretzky-type theorem for Hausdorff dimension: For any 0 < β < α, any compact metric space X of Hausdorff dimension α contains a subset which is ...
Mendel Manor
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Ultrametrics and Complete Multipartite Graphs
Theory and Applications of Graphs, 2022 Let \((X, d)\) be a semimetric space and let \(G\) be a graph. We say that \(G\) is the diametrical graph of \((X, d)\) if \(X\) is the vertex set of \(G\) and the adjacency of vertices \(x\) and \(y\) is equivalent to the equality \(\diam X = d(x, y)\).
Viktoriia Viktorivna Bilet +2 more
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