Gromov-Hausdorff convergence of quantised intervals [PDF]
Journal of Mathematical Analysis and Applications, 2020 The Podles quantum sphere S^2_q admits a natural commutative C*-subalgebra I_q with spectrum {0} \cup {q^{2k}: k = 0,1,2,...}, which may therefore be considered as a quantised version of a classical interval.
Thomas Gotfredsen, Jens Kaad, David Kyed
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Gromov-Hausdorff Convergence of Discrete Transportation Metrics [PDF]
SIAM Journal on Mathematical Analysis, 2012 This paper continues the investigation of “Wasserstein-like” transportation distances for probability measures on discrete sets. We prove that the discrete transportation metrics $\mathcal{W}_N$ on the $d$-dimensional discrete torus $\mathbf{T}_N^d$ with
N. Gigli, Jan Maas
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Harmonic Analysis Approach to Gromov–Hausdorff Convergence for Noncommutative Tori [PDF]
Communications in Mathematical Physics, 2016 We show that the rotation algebras are limits of matrix algebras in a very strong sense of convergence for algebras with additional Lipschitz structure. Our results generalize to higher dimensional noncommutative tori and operator valued coefficients. In
M. Junge, Sepideh Rezvani, Q. Zeng
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Essential circles and Gromov–Hausdorff convergence of covers [PDF]
Journal of Topology and Analysis, 2013 The δ-covers of Sormani–Wei ([20]) are known not to be “closed” with respect to Gromov–Hausdorff convergence. In this paper we use the essential circles introduced in [19] to define a larger class of covering maps of compact geodesic spaces called ...
C. Plaut, Jay Wilkins
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Stability of heat kernel bounds under pointed Gromov–Hausdorff convergence [PDF]
Journal of Functional AnalysisWe construct a conservative and strongly local regular symmetric Dirichlet form on the pointed Gromov--Hausdorff limit space and demonstrate the stability of heat kernel estimates under this convergence. Furthermore, we establish the Mosco convergence of
Aobo Chen
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Gromov-Hausdorff convergence of maximal Gromov hyperbolic spaces and their boundaries [PDF]
Geometriae DedicataThe relation between negatively curved spaces and their boundaries is important for various rigidity problems. In [8], the class of Gromov hyperbolic spaces called maximal Gromov hyperbolic spaces was introduced, and the boundary functor X↦∂X ...
K. Biswas, Arkajit Pal Choudhury
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Gromov-Hausdorff convergence of non-Archimedean fuzzy metric spaces [PDF]
Fuzzy Sets and Systems, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sergio Macario, M. Sanchis
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Correction: Lorentzian metric spaces and their Gromov–Hausdorff convergence
Letters in Mathematical PhysicsE. Minguzzi, S. Suhr
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Asymptotically Mean Value Harmonic Functions in Doubling Metric Measure Spaces
Analysis and Geometry in Metric Spaces, 2022 We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds and in doubling metric measure spaces.
Adamowicz Tomasz +2 more
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The geometric quantizations and the measured Gromov–Hausdorff convergences [PDF]
Journal of Symplectic Geometry, 2020 On a compact symplectic manifold $(X,ω)$ with a prequantum line bundle $(L,\nabla,h)$, we consider the one-parameter family of $ω$-compatible complex structures which converges to the real polarization coming from the Lagrangian torus fibration. There are several researches which show that the holomorphic sections of the line bundle localize at Bohr ...
openaire +2 more sources