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Reports (Research Report) Year : 1994

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


{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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inria-00074501 , version 1 (24-05-2006)


  • HAL Id : inria-00074501 , version 1


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