Convex functions and \(p\)-barycenter on CAT(1)-spaces of small radii

DOI10.21099/TKBJM/1506353559zbMath1378.53056OpenAlexW2759220802MaRDI QIDQ1674145

Takumi Yokota

Publication date: 1 November 2017

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tkbjm/1506353559

zbMATH Keywords

convex functionBanach-Saks property\(p\)-barycenterCAT(1)-space

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (6)

Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics ⋮ Old and new challenges in Hadamard spaces ⋮ Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space ⋮ Uniformly convex metric spaces ⋮ Law of large numbers in CAT(1)-spaces of small radii ⋮ Generalized barycenters and variance maximization on metric spaces

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