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dc.contributor.authorKohlenbach, Ulrich
dc.contributor.authorLópez-Acedo, Genaro
dc.contributor.authorNicolae, Adriana
dc.date.accessioned2019-07-08T12:50:07Z
dc.date.available2019-07-08T12:50:07Z
dc.date.issued2019-07-08
dc.identifier.urihttp://publications.mfo.de/handle/mfo/2508
dc.description.abstractIn this paper 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 discrete lion and man game with an $\varepsilon$-capture criterion. 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.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2019,18
dc.subjectLion and man gameen_US
dc.subjectRate of convergenceen_US
dc.subjectUniform convexityen_US
dc.subjectBetweenness propertyen_US
dc.titleA Quantitative Analysis of the “Lion-Man” Gameen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2019-18
local.scientificprogramResearch in Pairs 2019en_US
local.series.idOWP-2019-18en_US
local.subject.msc91en_US
local.subject.msc49en_US
local.subject.msc53en_US
local.subject.msc03en_US
dc.identifier.urnurn:nbn:de:101:1-2019082214461989711018
dc.identifier.ppn1672107067


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