Positive definite metric spaces

DOI10.1007/s11117-012-0202-8zbMath1284.54043arXiv1012.5863OpenAlexW3098025416MaRDI QIDQ369652

Mark W. Meckes

Publication date: 19 September 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5863

zbMATH Keywords

weightingmagnitudeweight measure

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Variational problems in a geometric measure-theoretic setting (49Q20) Geometry and structure of normed linear spaces (46B20) Metric geometry (51F99) Length, area, volume, other geometric measure theory (28A75) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (17)

Spread: A Measure of the Size of Metric Spaces ⋮ Distance covariance in metric spaces ⋮ Smoothness filtration of the magnitude complex ⋮ Magnitude homology of enriched categories and metric spaces ⋮ Magnitude and Holmes–Thompson intrinsic volumes of convex bodies ⋮ Hyperbolic space has strong negative type ⋮ Spaces of extremal magnitude ⋮ Test for homogeneity of random objects on manifolds with applications to biological shape analysis ⋮ Manifold energy two-sample test ⋮ Persistent magnitude ⋮ Same But Different: Distance Correlations Between Topological Summaries ⋮ Strong negative type in spheres ⋮ On the asymptotic magnitude of subsets of Euclidean space ⋮ Random orderings and unique ergodicity of automorphism groups ⋮ Magnitude, diversity, capacities, and dimensions of metric spaces ⋮ The magnitude of odd balls via Hankel determinants of reverse Bessel polynomials ⋮ The magnitude of a graph

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