Pasting gauges II: Balls in pasted halfplanes
Copyright policy )Pasting gauges II: Balls in pasted halfplanes
In the paper under review, the author continues his studies (mostly) on the planar metric obtained when pasting two halfplanes with different gauges along their separating line. A large part of the work is devoted to shapes and properties of shortest path balls constructed with use of the mentioned metric, and this is due to some possible applications, for instance fire-propagation models. For Part I of this paper, see [the author, ibid. 256, 105--137 (2019; Zbl 1447.52027)].
- Vrije Universiteit Brussel Belgium
shortest path, gauge-distances, Gauge-distances, Shortest path, Snell law, hyperplane boundary, Hyperplane boundary, Norms (inequalities, more than one norm, etc.) of linear operators, Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
shortest path, gauge-distances, Gauge-distances, Shortest path, Snell law, hyperplane boundary, Hyperplane boundary, Norms (inequalities, more than one norm, etc.) of linear operators, Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
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