Rendezvous numbers of metric spaces - a potential theoretic approach

Details Rendezvous numbers of metric spaces - a potential theoretic approach Rendezvous numbers of metric spaces - a potential theoretic approach

2005-03-21

arxiv.org/abs/math/0503427v2

Arch. Math. (Basel). 86 (2006), 268-281

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

The present work draws on the understanding how notions of general potential theory - as set up, e.g., by Fuglede - explain existence and some basic results on the "magical" rendezvous numbers. We aim at a fairly general description of rendezvous numbers in a metric space by using systematically the potential theoretic approach. In particular, we generalize and explain results on invariant measures, hypermetric spaces and maximal energy measures, when showing how more general proofs can be found to them.

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