Distance sets of well-distributed planar sets for polygonal norms

Details Distance sets of well-distributed planar sets for polygonal norms Distance sets of well-distributed planar sets for polygonal norms

2004-05-01

arxiv.org/abs/math/0405017v1

Mathematics

Combinatorics

18 pages

Scientific paper

Let X be a 2-dimensional normed space, and let BX be the unit ball in X. We discuss the question of how large the set of extremal points of BX must be if X contains a well-distributed set whose distance set Delta satisfies the estimate |\Delta\cap[0,N]|

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