Publications HAL

2021/02 Linear and Multilinear Algebra – On the Tightness of Bounds for Transients and Weak CSR Expansions in Max-Plus Algebra

2021/02 Linear Algebra and its Applications – New bounds on the periodicity transient of the powers of a tropical matrix: Using cyclicity and factor rank

2019/05 – Semigroup identities of tropical matrices through matrix ranks

2017/08 – Comparison of max-plus automata and joint spectral radius of tropical matrices

2015/09 Journal of Algebra – The ultimate rank of tropical matrices

2014/12 – Generalizations of bounds on the index of convergence to weighted digraphs

2014/11 Linear Algebra and its Applications – Weak CSR expansions and transience bounds in max-plus algebra

2011/04 European Journal of Operational Research – A coupling approach to estimating the Lyapunov exponent of stochastic max-plus linear systems

2010/02 Mathematics of Operations Research – Memory loss property for products of random matrices in the $(\max,+)$ algebra

2008/03 Electronic Journal of Probability – Cycle time of stochastic max-plus linear systems

2007/10 Annals of Applied Probability – A central limit theorem for stochastic recursive sequences of topical operators

2007/01 – Limit theorems for iterated random topical operators

2006/07 – Law of Large Numbers for products of random matrices with coefficients in the max-plus semi-ring.

2005/10 – Produits de matrices aléatoires :exposants de Lyapunov pour des matrices aléatoires suivant une mesure de Gibbs, théorèmes limites pour des produits au sens max-plus