Article
A note on an ergodic theorem in weakly uniformly convex geodesic spaces
Author/s | Leustean, Laurentiu
Nicolae, Adriana |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2015-11 |
Deposit Date | 2016-10-26 |
Published in |
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Abstract | Karlsson and Margulis [A. Karlsson, G. Margulis, A multiplicative ergodic theorem and nonpositively curved spaces. Commun. Math. Phys. 208 (1999), 107-123] proved in the setting of uniformly convex geodesic spaces, which ... Karlsson and Margulis [A. Karlsson, G. Margulis, A multiplicative ergodic theorem and nonpositively curved spaces. Commun. Math. Phys. 208 (1999), 107-123] proved in the setting of uniformly convex geodesic spaces, which additionally satisfy a nonpositive curvature condition, an ergodic theorem that focuses on the asymptotic behavior of integrable cocycles of nonexpansive mappings over an ergodic measure-preserving transformation. In this note we show that this result holds true when assuming a weaker notion of uniform convexity. |
Funding agencies | Romanian National Authority for Scientific Research Ministry of Education. Romania |
Project ID. | PN-II-IDPCE-2011-3-0383
PN-II-RU-PD-2012-3-0152 |
Citation | Leustean, L. y Nicolae, A. (2015). A note on an ergodic theorem in weakly uniformly convex geodesic spaces. Archiv der Mathematik, 105 (5), 467-477. |
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