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Convergence of fuzzy tori and quantum tori for the quantum Gromov–Hausdorff propinquity: An explicit approach

open access: yes, 2013
41 Pages. This paper is the second half of ArXiv:1302.4058v2. The latter paper has been divided in two halves for publications purposes, with the first half now the current version of 1302.4058, which has been accepted in Trans. Amer. Math. Soc.
openaire   +3 more sources

Biomolecular Topology: Modelling and Analysis. [PDF]

open access: yesActa Math Sin Engl Ser, 2022
Liu J, Xia KL, Wu J, Yau SS, Wei GW.
europepmc   +1 more source

RTLI Coherence Index as a Practical Proxy for Gromov–Hausdorff Convergence

open access: yes
This technical note introduces the RTLI coherence index η as a practical screening tool for Gromov–Hausdorff (GH) convergence in discrete metric spaces. Although exact GH distance is computationally expensive, η combines correlation length, curvature consistency, local variance, and triangle deviation into a single, dimensionless quantity that is fast ...
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Gromov-Hausdorff and intrinsic flat convergence of RCD(K,N) and Kato spaces

open access: yes
We consider metric measure spaces $(X,\mathsf{d},\mathscr{H}^N)$ satisfying the properties (ETR), (LBD), and with an almost everywhere connected regular set. In particular, these assumptions are fulfilled by non-collapsed RCD$(K,N)$ spaces without boundary, as well as by non-collapsed strong Kato limit spaces without boundary.
Mondino, Andrea, Perales, Raquel
openaire   +2 more sources

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