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Discrete max-plus spectral theory

The work

AuthorsMarianne Akian; Stéphane Gaubert; Cormac Walsh
Editors
Typemisc
Year2005
Citekeyakian2005discrete

Where it appeared

Published inContemporary mathematics - American Mathematical Society
PublisherAmerican Mathematical Society
Volume377
Issue377
Pages53--77

Identifiers

DOI10.1090/conm/377/06984
OpenAlexW1558269973

From OpenAlex, which stores abstracts as an index of words and their positions: what is shown is rebuilt from that, and reads fluently whether or not it is what the author wrote.

Abstract

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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Added2026-10-27 07:42 UTC
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Cite it as

@misc{akian2005discrete,
  title        = {Discrete max-plus spectral theory},
  author       = {Marianne Akian and Stéphane Gaubert and Cormac Walsh},
  year         = {2005},
  journal      = {Contemporary mathematics - American Mathematical Society},
  publisher    = {American Mathematical Society},
  volume       = {377},
  number       = {377},
  pages        = {53--77},
  doi          = {10.1090/conm/377/06984},
}

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