Products of Irreducible Random Matrices in the (Max, +) Algebra

DOI10.2307/1428012zbMath0890.60063arXiv0707.3672OpenAlexW1768076998MaRDI QIDQ4374016

Jean Mairesse

Publication date: 23 June 1998

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.3672

zbMATH Keywords

random matricescyclic Jackson network

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items

Large deviations of products of random topical operators. ⋮ Analytic expansions of max-plus Lyapunov exponents. ⋮ A MAX-plus model of ribosome dynamics during mRNA translation ⋮ Semigroup of matrices acting on the max-plus projective space ⋮ On the Burnside problem for semigroups of matrices in the \((\max,+)\) algebra ⋮ Subadditive and multiplicative ergodic theorems ⋮ Blocking a transition in a free choice net and what it tells about its throughput. ⋮ A central limit theorem for stochastic recursive sequences of topical operators ⋮ A coupling approach to estimating the Lyapunov exponent of stochastic max-plus linear systems ⋮ Backward coupling in bounded free-choice nets under Markovian and non-Markovian assumptions ⋮ RANDOM DYNAMICAL SYSTEMS ON ORDERED TOPOLOGICAL SPACES ⋮ Critical Path Statistics of Max-Plus Linear Systems with Gaussian Noise