Minimum representing measures in Idempotent Analysis

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dc.creatorWalsh, Cormac
dc.date2005-03-30
dc.date.accessioned2026-07-07T05:18:39Z
dc.date.available2026-07-07T05:18:39Z
dc.descriptionWe 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.
dc.description15 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/math/0503716
dc.identifierhttp://arxiv.org/abs/math/0503716
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74735
dc.subjectMetric Geometry
dc.subjectOptimization and Control
dc.subject53C23 (Primary) 47J10 49L20 (Secondary)
dc.titleMinimum representing measures in Idempotent Analysis
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