Discrete max-plus spectral theory

Details Discrete max-plus spectral theory Discrete max-plus spectral theory

2004-05-12

arxiv.org/abs/math/0405225v1

Appears in "Idempotent Mathematics and Mathematical Physics", G.L. Litvinov and V.P. Maslov, Eds, vol. 377 of Contemporary Mat

Mathematics

Spectral Theory

25 pages, 7 figures. ESI preprint

Scientific paper

We develop a max-plus spectral theory for infinite matrices. We introduce recurrence and tightness conditions, under which many results of the finite dimensional theory, concerning the representation of eigenvectors and the asymptotic behavior of powers of matrices, carry over. We also announce more general representation results for eigenvectors, which are obtained by introducing a max-plus analogue of the Martin boundary.

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