Results 41 to 50 of about 7,382 (157)

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 characterisation of snowflakes via rectifiability

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We prove a generalisation to every metric space of Tyson–Wu's characterisation of metric spaces biLipschitz equivalent to snowflakes, by removing compactness, doubling and embeddability assumptions. We also characterise metric spaces that are biLipschitz equivalent to a snowflake in terms of the absence of non‐trivial metric 1‐currents in ...
Emanuele Caputo, Nicola Cavallucci
wiley   +1 more source

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

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  

The gap between Gromov-vague and Gromov-Hausdorff-vague topology

, 2016
In Athreya, L\"ohr, Winter (2016), an invariance principle is stated for a class of strong Markov processes on tree-like metric measure spaces. It is shown that if the underlying spaces converge Gromov vaguely, then the processes converge in the sense of
Athreya, Siva, Löhr, Wolfgang, Winter, Anita   +2 more
core   +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

Curved Noncommutative Tori as Leibniz Quantum Compact Metric Spaces

, 2015
We prove that curved noncommutative tori, introduced by Dabrowski and Sitarz, are Leibniz quantum compact metric spaces and that they form a continuous family over the group of invertible matrices with entries in the commutant of the quantum tori in the ...
Connes A., Connes A., Dąbrowski L., Frédéric Latrémolière, Gromov M., Hausdorff F., Kantorovich L. V., Kantorovich L. V., Kerr D., Latrémolière F., Latrémolière F., Latrémolière F., Latrémolière F., Rieffel M. A., Rieffel M. A., Rieffel M. A., Rieffel M. A., Rieffel M. A., Villani C.   +18 more
core   +1 more source

EMBEDDINGS TO RECTILINEAR SPACE AND GROMOV--HAUSDORFF DISTANCES

Matematički Vesnik
We show that the problem whether a given finite metric space can be embedded into $m$-dimensional rectilinear space can be reformulated in terms of the Gromov--Hausdorff distance between some special finite metric spaces.
Ivanov, Alexander, Tuzhilin, Alexey
openaire   +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

Gromov-Hausdorff distances for dynamical systems

Discrete and Continuous Dynamical Systems, 2020
We study equivariant Gromov-Hausdorff distances for general continuous actions which are not necessarily isometric as Fukaya introduced. We prove that if an action is expansive and has pseudo-orbit tracing property then it is stable under our adapted equivariant Gromov-Hausdorff topology.
openaire   +3 more sources