A CAT(0)-VALUED POINTWISE ERGODIC THEOREM

DOI10.1142/S1793525311000544zbMath1221.37006arXiv0905.0515OpenAlexW2964144225MaRDI QIDQ3020556

Tim D. Austin

Publication date: 4 August 2011

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.0515

zbMATH Keywords

CAT(0)-spacepointwise ergodic theorem

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) One-parameter continuous families of measure-preserving transformations (28D10)

Related Items (10)

Ergodic theorem in CAT(0) spaces in terms of inductive means ⋮ Multifractal spectrum for barycentric averages ⋮ Contractive barycentric maps and \(L^{1}\) ergodic theorems on the cone of positive definite matrices ⋮ Old and new challenges in Hadamard spaces ⋮ A note on an ergodic theorem in weakly uniformly convex geodesic spaces ⋮ Matrix-valued Jensen's inequality and its application to eigenvalue analysis ⋮ Unnamed Item ⋮ An L¹ ergodic theorem with values in a non-positively curved space via a canonical barycenter map ⋮ Convergence theorems for barycentric maps ⋮ The Halász–Székely barycenter

Cites Work

• Barycenter and maximum likelihood
• Pointwise theorems for amenable groups.
• A multiplicative ergodic theorem and nonpositively curved spaces

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