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Chordal Hausdorff Convergence and Quasihyperbolic Distance [PDF]

open access: yesAnalysis and Geometry in Metric Spaces, 2020
We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
David Herron, Marie Snipes
exaly   +4 more sources

Size of Convergence Domains for Generalized Hausdorff Prime Matrices [PDF]

open access: yesJournal of Inequalities and Applications, 2011
We show that there exit E-J generalized Hausdorff matrices and unbounded sequences such that each matrix has convergence domain .
Savaş E   +2 more
doaj   +5 more sources

Gromov-Hausdorff convergence of quantised intervals [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2021
12 pages, to appear in ...
Thomas Gotfredsen   +2 more
exaly   +4 more sources

Hausdorff convergence of Julia sets

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernd Krauskopf
exaly   +5 more sources

Convergence of Cauchy sequences for the covariant Gromov–Hausdorff propinquity [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 2019
The covariant Gromov-Hausdorff propinquity is a distance on Lipschitz dynamical systems over quantum compact metric spaces, up to equivariant full quantum isometry. It is built from the dual Gromov-Hausdorff propinquity which, as its classical counterpart, is complete.
Frédéric Latrémolière
exaly   +4 more sources

Convergence Groups, Hausdorff Dimension, and a Theorem of Sullivan and Tukia [PDF]

open access: yesGeometriae Dedicata, 2004
A \(K\)-{quasiconformal group} \(G\) acting on \(\overline{{\mathbb R}^n} = {\mathbb R}^n\cup\{0\}\) is a discrete group of homeomorphisms, each of which is a \(K-\)quasiconformal mapping. A {quasiconformal Fuchsian group} (QCF) is a \(K\)-{quasiconformal group} preserving the upper-half space \({\mathbb H}^n\). By previous work of the second and third
  +2 more
exaly   +3 more sources

On the convergence and optimization of the Baker–Campbell–Hausdorff formula

open access: yesLinear Algebra and Its Applications, 2004
The Baker-Campbell-Hausdorff (BCH) series is a very prominent subject in Lie theory. It is useful for fundamental research as well as for applications, e.g., for the numerical treatment of differential equations on manifolds. Consider two noncommutative variables \(X,Y\). Then the BCH series is the formal power series of \(\log(e^Xe^Y)\). Considering a
Sérgio Blanes, Fernando Casas
exaly   +2 more sources

A note on Hausdorff convergence of pseudospectra [PDF]

open access: yesOpuscula Mathematica, 2022
For a bounded linear operator on a Banach space, we study approximation of the spectrum and pseudospectra in the Hausdorff distance. We give sufficient and necessary conditions in terms of pointwise convergence of appropriate spectral quantities.
Marko Lindner, Dennis Schmeckpeper
doaj   +1 more source

ON THE STATISTICAL CONVERGENCE OF NESTED SEQUENCES OF SETS

open access: yesПроблемы анализа, 2022
In this paper, we show that Wijsman convergence and statistical Wijsman convergence are equivalent to each other if we choose the sequences of sets as monotone.
H. Albayrak   +3 more
doaj   +1 more source

Remarks on cardinal inequalities in convergence spaces [PDF]

open access: yesMathematica Bohemica, 2021
We extend the Noble and Ulmer theorem and the Juhász and Hajnal theorems in set-theoretic topology. We show that a statement analogous to that in the former theorem is valid for a family of almost topological convergences, whereas statements analogous to
Kazushi Yoshitomi
doaj   +1 more source

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