Results 31 to 40 of about 7,327 (139)

Interleaving and Gromov-Hausdorff distance

, 2017
35 pages, v3: changed title and added references to uses of interleaving (Section 1.3)
Bubenik, Peter, de Silva, Vin, Scott, Jonathan   +2 more
openaire   +2 more sources

Gromov-Hausdorff distance for quantum metric spaces [PDF]

Memoirs of the American Mathematical Society, 2004
81 pages. Several minor improvements and several references added. To appear Memoirs Amer.
openaire   +2 more sources

Entropy rigidity for cusped Hitchin representations

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary, Tengren Zhang, Andrew Zimmer   +2 more
wiley   +1 more source

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley   +1 more source

Gromov--Hausdorff Distance to Simplexes

, 2019
Geometric characteristics of metric spaces that appear in formulas of the Gromov--Hausdorff distances from these spaces to so-called simplexes, i.e., to the metric spaces, all whose non-zero distances are the same are studied. The corresponding calculations essentially use geometry of partitions of these spaces. In the finite case, it gives the lengths
Grigor'ev, D. S., Ivanov, A. O., Tuzhilin, A. A.   +2 more
openaire   +2 more sources

Gromov-Hausdorff Distance Between Segment and Circle

, 2021
14 pages, 4 ...
Ji, Yibo, Tuzhilin, Alexey A.
openaire   +2 more sources

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

Virtual 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

A Compactness Theorem for The Dual Gromov-Hausdorff Propinquity [PDF]

, 2015
We prove a compactness theorem for the dual Gromov-Hausdorff propinquity as a noncommutative analogue of the Gromov compactness theorem for the Gromov-Hausdorff distance.
Latremoliere, Frederic
core   +2 more sources

Combination theorems for Wise's power alternative

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen, Alexandre Martin, Giovanni Sartori   +2 more
wiley   +1 more source

Leibniz seminorms for "Matrix algebras converge to the sphere" [PDF]

, 2010
In an earlier paper of mine relating vector bundles and Gromov-Hausdorff distance for ordinary compact metric spaces, it was crucial that the Lipschitz seminorms from the metrics satisfy a strong Leibniz property.
Rieffel, Marc A.
core