Minimum representing measures in Idempotent Analysis

Details Minimum representing measures in Idempotent Analysis Minimum representing measures in Idempotent Analysis

2005-03-30

arxiv.org/abs/math/0503716v1

Mathematics

Metric Geometry

15 pages, 0 figures

Scientific paper

We show that the set of max-plus measures representing a given max-plus
harmonic vector has a least element. This may be viewed as an analogue of the
uniqueness of the integral representation of harmonic functions in Potential
Theory. As an application, we show how the distance-like functions of a metric
space can be expressed in terms of the Busemann points of the metric boundary.

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