# On semigroups of matrices in the (max,+) algebra

Abstract : {We show that the answer to the Burnside problem is positive for semigroups of matrices with entries in the $(\max,+)$-algebra (that is, the semiring $(\RR\cup\{-\infty\},\max,+)$), and also for semigroups of $(\max,+)$-linear projective maps with rational entries. An application to the estimation of the Lyapunov exponent of certain products of random matrices is also discussed
Type de document :
Rapport
[Research Report] RR-2172, INRIA. 1994
Domaine :

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https://hal.inria.fr/inria-00074501
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Soumis le : mercredi 24 mai 2006 - 15:32:15
Dernière modification le : mardi 17 avril 2018 - 11:28:42
Document(s) archivé(s) le : dimanche 4 avril 2010 - 22:18:41

### Identifiants

• HAL Id : inria-00074501, version 1

### Citation

Stéphane Gaubert. On semigroups of matrices in the (max,+) algebra. [Research Report] RR-2172, INRIA. 1994. 〈inria-00074501〉

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