Utilisateur·rice
Glenn • MERLET
Maître de Conférences (MCF H) • Affiliation : Aix-Marseille Université (AMU)
Site : Saint-Charles • Bureau : C1-03 • Etage du bureau : RdJ (bât. 7) •
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Groupe(s) scientifiques(s) de l'utilisateur :
Thématiques scientifiques :
- Informatique théorique, calculabilité
- Mathématiques discrètes
- Probabilités
- Systèmes dynamiques géométriques
- Systèmes dynamiques symboliques
Publications HAL
2021/02 Linear and Multilinear Algebra – On the Tightness of Bounds for Transients and Weak CSR Expansions in Max-Plus Algebra2021/02 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
