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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
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Submitted on : Wednesday, May 24, 2006 - 3:32:15 PM
Last modification on : Friday, February 4, 2022 - 3:07:48 AM
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Stéphane Gaubert. On semigroups of matrices in the (max,+) algebra. [Research Report] RR-2172, INRIA. 1994. ⟨inria-00074501⟩

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