Minimum representing measures in Idempotent Analysis
度量几何
2007-05-23 v1 最优化与控制
摘要
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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引用
@article{arxiv.math/0503716,
title = {Minimum representing measures in Idempotent Analysis},
author = {Cormac Walsh},
journal= {arXiv preprint arXiv:math/0503716},
year = {2007}
}
备注
15 pages, 0 figures