An L1 ergodic theorem with values in a non-positively curved space via a canonical barycenter map

DOI10.1017/S0143385711001015zbMath1277.37014arXiv1104.5188OpenAlexW2962880394MaRDI QIDQ4928742

Andrés Navas

Publication date: 18 June 2013

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.5188

zbMATH Keywords

Wasserstein metricbarycenterCAT(0)-spacesFølner sequencesBirkhoff ergodic theoremcomplete metric space with non-positive curvaturetempered Følner sequences

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)

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Cites Work

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• Pointwise theorems for amenable groups.
• A CAT(0)-VALUED POINTWISE ERGODIC THEOREM

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