Article
Effective results on nonlinear ergodic averages in CAT(κ) spaces
Author/s | Leustean, Laurentiu
Nicolae, Adriana |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2016-12 |
Deposit Date | 2016-11-29 |
Published in |
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Abstract | In this paper we apply proof mining techniques to compute, in the setting of
CAT(κ) spaces (with κ > 0), effective and highly uniform rates of asymptotic regularity and metastability for a nonlinear generalization of the ... In this paper we apply proof mining techniques to compute, in the setting of CAT(κ) spaces (with κ > 0), effective and highly uniform rates of asymptotic regularity and metastability for a nonlinear generalization of the ergodic averages, known as the Halpern iteration. In this way, we obtain a uniform quantitative version of a nonlinear extension of the classical von Neumann mean ergodic theorem. |
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. (201-). Effective results on nonlinear ergodic averages in CAT(κ) spaces. Ergodic Theory and Dynamical Systems, 36 (8), 2580-2601. |
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