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A uniform betweenness property in metric spaces and its role in the quantitative analysis of the “Lion-man” game
dc.creator | Kohlenbach, Ulrich Wilhelm | es |
dc.creator | López Acedo, Genaro | es |
dc.creator | Nicolae, Adriana | es |
dc.date.accessioned | 2023-04-14T08:26:20Z | |
dc.date.available | 2023-04-14T08:26:20Z | |
dc.date.issued | 2021-01-26 | |
dc.identifier.citation | Kohlenbach, U.W., López Acedo, G. y Nicolae, A. (2021). A uniform betweenness property in metric spaces and its role in the quantitative analysis of the “Lion-man” game. Pacific Journal of Mathematics, 310 (1), 181-212. https://doi.org/10.2140/pjm.2021.310.181. | |
dc.identifier.issn | 1945-5844 | es |
dc.identifier.issn | 0030-8730 | es |
dc.identifier.uri | https://hdl.handle.net/11441/144354 | |
dc.description.abstract | We analyze, based on an interplay between ideas and techniques from logic and geometric analysis, a pursuit-evasion game. More precisely, we focus on a uniform betweenness property and use it in the study of a discrete lion and man game with an ε -capture criterion. In particular, we prove that in uniformly convex bounded domains the lion always wins and, using ideas stemming from proof mining, we extract a uniform rate of convergence for the successive distances between the lion and the man. As a byproduct of our analysis, we study the relation among different convexity properties in the setting of geodesic spaces. | es |
dc.format | application/pdf | es |
dc.format.extent | 31 p. | es |
dc.language.iso | eng | es |
dc.publisher | MSP | es |
dc.relation.ispartof | Pacific Journal of Mathematics, 310 (1), 181-212. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | lion and man game | es |
dc.subject | rate of convergence | es |
dc.subject | uniform convexity | es |
dc.subject | betweenness property | es |
dc.title | A uniform betweenness property in metric spaces and its role in the quantitative analysis of the “Lion-man” game | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/embargoedAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.date.embargoEndDate | 2027-01-26 | |
dc.relation.publisherversion | https://dx.doi.org/10.2140/pjm.2021.310.181 | es |
dc.identifier.doi | 10.2140/pjm.2021.310.181 | es |
dc.journaltitle | Pacific Journal of Mathematics | es |
dc.publication.volumen | 310 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 181 | es |
dc.publication.endPage | 212 | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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pjm-v310-n1-p07-s.pdf | 446.8Kb | ![]() | Este documento no está disponible a texto completo hasta el 2027-01-26 . Para más información póngase en contacto con idus@us.es. | |