2 papers
math.MG2019
Geodesic rays, the "Lion-Man" game, and the fixed point property
Genaro López-Acedo, Adriana Nicolae, Bożena Piątek
This paper focuses on the relation among the existence of different types of curves (such as directional ones, quasi-geodesic or geodesic rays), the (approximate) fixed point prope…
math.MG2018
A uniform betweenness property in metric spaces and its role in the quantitative analysis of the "Lion-Man" game
Ulrich Kohlenbach, Genaro López-Acedo, Adriana Nicolae
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 betwee…