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- W4301359749 abstract "In 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 uniform betweenness property and use it in the study of a discrete lion and man game with an $varepsilon$-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." @default.
- W4301359749 created "2022-10-05" @default.
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- W4301359749 date "2018-06-03" @default.
- W4301359749 modified "2023-10-14" @default.
- W4301359749 title "A uniform betweenness property in metric spaces and its role in the quantitative analysis of the Lion-Man game" @default.
- W4301359749 doi "https://doi.org/10.48550/arxiv.1806.04496" @default.
- W4301359749 hasPublicationYear "2018" @default.
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