On semigroups of matrices in the (max,+) algebra
Stéphane Gaubert · 1994
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 (R[ f\\Gamma1g; 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.