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Quasisymmetries of finitely ramified Julia sets. [PDF]

Math Ann
Belk J, Forrest B.
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Longitudinal evaluation of common and unique brain-networks in variants of primary progressive aphasia. [PDF]

Alzheimers Res Ther
Kashyap R, Bharath RD, Zhou C, Tsapkini K, Desmond JE, Chen SHA, Udupa K, Sivakumar PT, Bhattacharjee S.   +8 more
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Neck-pinching of C P 1 -structures in the PSL 2 C -character variety. [PDF]

J Topol
Baba S.
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Gromov–Hausdorff distance between interval and circle

Topology and Its Applications, 2022
The authors introduce the new notions of round metric spaces and nonlinearity degree of a metric space. A metric space \((X, d)\) is called round if, for every \(b \in (0, \operatorname{diam} X)\) and each \(x \in X\), there exists \(y \in X\) such that \(d(x, y) \geqslant b\).
Yibo Ji, Alexey A Tuzhilin
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Gromov–Hausdorff distance for pointed metric spaces

Journal of Analysis, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David A Herron
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Calculation of the Gromov–Hausdorff Distance Using the Borsuk Number

Moscow University Mathematics Bulletin, 2023
The Gromov-Hausdorff distance is not only a classical invariant in metric geometry, it also proved to be an important tool in Imaging and its related fields. However, its application in any practical context is severely resticted by the difficulty of its computation. Surprisingly enough, the authors showed in [Chebyshevskiĭ Sb. 21, No. 2(74), 169--189 (
A O Ivanov
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Estimates for Modified (Euclidean) Gromov–Hausdorff Distance

Moscow University Mathematics Bulletin
The Gromov-Hausdorff distance \(d_{\mathrm{GH}(X, Y ) }\) is well-known to be bounded above and below by the diameters of the sets \(X\) and~\(Y\). The main result of the paper under review gives analogous (sharp) bounds for the Euclidean Gromov-Hausdorff distance in the case of the group of all motions \(|r_X - r_Y | \le d_{\mathcal{G}}(X, Y ) \le ...
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Gromov-Hausdorff distances in Euclidean spaces

2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, 2008
The purpose of this paper is to study the relationship between measures of dissimilarity between shapes in Euclidean space. We first concentrate on the pair Gromov-Hausdorff distance (GH) versus Hausdorff distance under the action of Euclidean isometries (EH). Then, we (1) show they are comparable in a precise sense that is not the linear behaviour one
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Gromov-Hausdorff Distances

2022
Jihoon Lee, Carlos Morales Rojas
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Classical and continuous Gromov-Hausdorff distances

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Semenov, K. V., Tuzhilin, A. A.
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