Results 1 to 10 of about 274 (115)

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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A cohomology-based Gromov–Hausdorff metric approach for quantifying molecular similarity [PDF]

Scientific Reports
We 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, Xue Gong, Wilderich Tuschmann, Kelin Xia   +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, Felix Benninger, Andrei Khrennikov   +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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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, Zane Smith, Zhengchao Wan   +2 more
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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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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, Oleksiy Dovgoshey, Yuriy Nikitovich Kononov   +2 more
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Penot’s Compactness Property in Ultrametric Spaces with an Application

Journal of Function Spaces, 2021
In this work, we investigate the compactness property in the sense of Penot in ultrametric spaces. Then, we show that spherical completeness is exactly the Penot’s compactness property introduced for convexity structures.
Mostafa Bachar, Messaoud Bounkhel, Samih Lazaiz   +2 more
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Some Common Fixed Point Results in Modular Ultrametric Space Using Various Contractions and Their Application to Well-Posedness

Mathematics, 2023
The aim of this study is to prove the existence and uniqueness of fixed point and common fixed point theorems for self-mappings in modular ultrametric spaces.
Yahya Almalki, Balaanandhan Radhakrishnan, Uma Jayaraman, Kandhasamy Tamilvanan   +3 more
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