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arxiv: 1609.01393 · v2 · pith:XPGL5NPBnew · submitted 2016-09-06 · 🧮 math.DS

A Perron-Frobenius type result for integer maps and applications

classification 🧮 math.DS
keywords mapsapplicationsintegerallocationapproximatecertainconcavedimensional
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It is shown that for certain maps, including concave maps, on the $d$-dimensional lattice of positive integer points, 'approximate' eigenvectors can be found. Applications in epidemiology as well as distributed resource allocation are discussed as examples.

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