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Extendability of Metric Segments in Gromov--Hausdorff Distance
, 2020 19 ...
Borzov, S. I. +2 more
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A Unified Framework for Generalizing the Gromov-Hausdorff Metric
, 2019 In this paper, a general approach is presented for generalizing the Gromov-Hausdorff metric to consider metric spaces equipped with some additional structure. A special case is the Gromov-Hausdorff-Prokhorov metric which considers measured metric spaces.
Khezeli, Ali
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, 2013 Quantum tori are limits of finite dimensional C*-algebras for the quantum Gromov-Hausdorff propinquity, a metric defined by the author as a strengthening of Rieffel's quantum Gromov-Hausdorff designed to retain the C*-algebraic structure.
Latremoliere, Frederic
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Patterson-Sullivan theory for Anosov subgroups
, 2019 We extend several notions and results from the classical Patterson-Sullivan theory to the setting of Anosov subgroups of higher rank semisimple Lie groups, working primarily with invariant Finsler metrics on associated symmetric spaces. In particular, we
Dey, Subhadip, Kapovich, Michael
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Who Invented the Gromov-Hausdorff Distance?
, 2016 One of the most beautiful notions of metric geometry is the Gromov-Hausdorff distance which measures the difference between two metric spaces. To define the distance, let us isometrically embed these spaces into various metric spaces and measure the Hausdorff distance between their images.
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Potential and challenges of high-speed (4D) body scanning for mobility analysis of firefighter clothing: a methodical case study. [PDF]
EXCLI J, 2023 Muenks D, Kyosev Y, Kunzelmann F.
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Gromov-Hausdorff Distance for Directed Spaces
Changes have been made in the last part of Section 3.
Fajstrup, Lisbeth +6 more
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Hodge Laplacian of Brain Networks. [PDF]
IEEE Trans Med Imaging, 2023 Anand DV, Chung MK.
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Null Distance and Convergence of Lorentzian Length Spaces. [PDF]
Ann Henri Poincare, 2022 Kunzinger M, Steinbauer R.
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Lectures on Hausdorff and Gromov-Hausdorff Distance Geometry
, 2020 The course was given at Peking University, Fall 2019. We discuss the following subjects: (1) Introduction to general topology, hyperspaces, metric and pseudometric spaces, graph theory. (2) Graphs in metric spaces, minimum spanning tree, Steiner minimal tree, Gromov minimal filling.
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