On semigroups of matrices in the (max,+) algebra
Résumé
{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
Domaines
Autre [cs.OH]
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