Rate of convergence of stochastic processes with values in \(\mathbb {R}\)-trees and Hadamard manifolds

zbMath1210.53071arXiv0906.0649MaRDI QIDQ624257

Kei Funano

Publication date: 9 February 2011

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

Full work available at URL: https://arxiv.org/abs/0906.0649

zbMATH Keywords

Hadamard manifoldweak law of large numbersconcentration of measure phenomenon

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Probability theory on algebraic and topological structures (60B99) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (1)

Law of large numbers in CAT(1)-spaces of small radii

Cites Work

• Central and \(L^p\)-concentration of 1-Lipschitz maps into \(R\)-trees
• Exponential and Gaussian concentration of 1-Lipschitz maps
• Unconditional and symmetric sets in \(n\)-dimensional normed spaces
• Observable concentration of \(mm\)-spaces into spaces with doubling measures
• Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
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