dc.creator | Leustean, Laurentiu | es |
dc.creator | Nicolae, Adriana | es |
dc.date.accessioned | 2016-11-29T10:58:54Z | |
dc.date.available | 2016-11-29T10:58:54Z | |
dc.date.issued | 2016-12 | |
dc.identifier.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. | |
dc.identifier.issn | 0143-3857 | es |
dc.identifier.issn | 1469-4417 | es |
dc.identifier.uri | http://hdl.handle.net/11441/49302 | |
dc.description.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 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. | es |
dc.description.sponsorship | Romanian National Authority for Scientific Research | es |
dc.description.sponsorship | Romanian Ministry of Education | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Cambridge University Press | es |
dc.relation.ispartof | Ergodic Theory and Dynamical Systems, 36 (8), 2580-2601. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Proof mining | es |
dc.subject | Nonlinear ergodic averages | es |
dc.subject | CAT(κ) spaces | es |
dc.subject | Rates of metastabilty | es |
dc.subject | Halpern iteration | es |
dc.subject | Asymptotic regularity | es |
dc.title | Effective results on nonlinear ergodic averages in CAT(κ) spaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | PN-II-IDPCE-2011-3-0383 | es |
dc.relation.projectID | PN-II-RU-PD-2012-3-0152 | es |
dc.relation.publisherversion | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/1270A759E4D77390811CD99783279D0B/S0143385715000310a.pdf/effective-results-on-nonlinear-ergodic-averages-in-cat-unicode-stix-x1d705-spaces.pdf | es |
dc.identifier.doi | 10.1017/etds.2015.31 | es |
idus.format.extent | 27 p. | es |
dc.journaltitle | Ergodic Theory and Dynamical Systems | es |
dc.publication.volumen | 36 | es |
dc.publication.issue | 8 | es |
dc.publication.initialPage | 2580 | es |
dc.publication.endPage | 2601 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/49302 | |
dc.contributor.funder | Romanian National Authority for Scientific Research | |
dc.contributor.funder | Ministry of Education. Romania | |