Results 21 to 30 of about 4,807 (127)

Chordal Hausdorff Convergence and Quasihyperbolic Distance

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).
Herron David A.   +2 more
doaj   +1 more source

Some applications of conditional expectations to convergence for the quantum Gromov–Hausdorff propinquity [PDF]

open access: yesBanach Center Publications, 2020
12 pages. New section and new result on fixed point C*-subalgebra continuity wrt the propinquity.
Aguilar, Konrad, Latremoliere, Frederic
openaire   +2 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.
openaire   +3 more sources

A Characterization of LC n Compacta in Terms of Gromov-Hausdorff Convergence

open access: yesCanadian Mathematical Bulletin, 1994
AbstractIt is proved that a compactum is locally n-connected if and only if it is the limit (in the sense of Gromov-Hausdorff convergence) of an "equi-locally n-connected" sequence of (at most) (n + 1)-dimensional compacta.
K. Kawamura
semanticscholar   +2 more sources

Gromov-Hausdorff convergence theory of surfaces

open access: yes, 2020
In this paper, we use the viewpoint of Gromov-Haustorff convergence to give some new comprehension of well known theorem,it is Huber's classification theorem\cite{Huber}\cite{MS}for complete Riemannian surfaces immersed in $\mathbb{R}^n$ with finite total curvature( $\int_Σ|A ...
Jianxin, Sun, Zhou, Jie
openaire   +2 more sources

Homogenisation of Wasserstein gradient flows

open access: yesEuropean Journal of Applied Mathematics
We prove the convergence of a Wasserstein gradient flow of a free energy in inhomogeneous media. Both the energy and media can depend on the spatial variable in a fast oscillatory manner.
Yuan Gao, Nung Kwan Yip
doaj   +1 more source

Selective sampling with Gromov–Hausdorff metric: Efficient dense-shape correspondence via Confidence-based sample consensus

open access: yesVirtual Reality & Intelligent Hardware
Background: Functional mapping, despite its proven efficiency, suffers from a “chicken or egg” sce- nario, in that, poor spatial features lead to inadequate spectral alignment and vice versa during training, often resulting in slow convergence, high ...
Dvir Ginzburg, Dan Raviv
doaj   +1 more source

An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley   +1 more source

Geometry of Deformed Cellular Spaces

open access: yesMathematics
We develop an operational, measurement-first framework for the geometry of locally finite cell complexes, in which length is defined as a count of face crossings, and curvature is read off from the discrepancy between a measured radius and a radius ...
Shlomo Barak, George Salman
doaj   +1 more source

Simple normal crossing Kähler–Einstein metrics and RCD spaces

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract We show that Kähler–Einstein metrics with cone singularities along simple normal crossing (SNC) divisors define Riemannian Curvature Dimension (RCD) spaces, both in the compact setting and in certain non‐compact cases, thereby producing many examples of Einstein RCD spaces. In particular, we show the existence of smooth non‐compact 4‐manifolds
Martin de Borbon, Cristiano Spotti
wiley   +1 more source

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