Results 1 to 10 of about 95 (50)
Algebraic entropy of endomorphisms of M-sets [PDF]
Topological Algebra and its Applications, 2021 The usual notion of algebraic entropy associates to every group (monoid) endomorphism a value estimating the chaos created by the self-map. In this paper, we study the extension of this notion to arbitrary sets endowed with monoid actions, providing ...
Zava Nicolò
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The (largest) Lebesgue number and its relative version [PDF]
, 2022 In this paper we compare different definitions of the (largest) Lebesgue number of a cover U for a metric space X. We also introduce the relative version for the Lebesgue number of a covering family U for a subset A ⊆ X, and justify the relevance of ...
Tonić, Vera
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Supporting vectors vs. principal components [PDF]
, 2022 Let T : X -> Y be a bounded linear operator between Banach spaces X, Y. A vector x(0) is an element of S-X in the unit sphere S-X of X is called a supporting vector of T provided that parallel to T(x(0))parallel to = sup{parallel to T(x)parallel to ...
García Pacheco, Francisco Javier +3 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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On L1-Embeddability of Unions of L1-Embeddable Metric Spaces and of Twisted Unions of Hypercubes
Analysis and Geometry in Metric Spaces, 2022 We study properties of twisted unions of metric spaces introduced in [Johnson, Lindenstrauss, and Schechtman 1986], and in [Naor and Rabani 2017]. In particular, we prove that under certain natural mild assumptions twisted unions of L1-embeddable metric ...
Ostrovskii Mikhail I. +1 more
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Coarse distinguishability of graphs with symmetric growth [PDF]
, 2021 journal ...
80706557 +4 more
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Triangulations of uniform subquadratic growth are quasi-trees [PDF]
, 2021 It is known that for every $\alpha \geq 1$ there is a planar triangulation in which every ball of radius $r$ has size $\Theta(r^\alpha)$. We prove that for $\alpha
Benjamini, Itai, Georgakopoulos, Agelos
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A characterisation of the Daugavet property in spaces of vector-valued Lipschitz functions [PDF]
, 2023 This work was supported by MCIN/AEI/10.13039/501100011033: Grant PID2021-122126NB-C31 and by Junta de Andalucía: Grants FQM-0185 and PY20_00255. The research of Rubén Medina was also supported by FPU19/04085 MIU (Spain) Grant, by GA23-04776S project ...
Medina Sabino, Rubén +1 more
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Ahlfors-David regularity of intrinsically quasi-symmetric sections in metric spaces
, 2022 We introduce a definition of intrinsically quasi-symmetric sections in metric spaces and we prove the Ahlfors-David regularity for this class of sections.
Di Donato, Daniela
core
Hyperbolic Metric Spaces and Stochastic Embeddings
Forum of Mathematics, SigmaStochastic embeddings of finite metric spaces into graph-theoretic trees have proven to be a vital tool for constructing approximation algorithms in theoretical computer science.
Chris Gartland
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