Weak CSR expansions and transience bounds in max-plus algebra G Merlet, T Nowak, S Sergeev Linear Algebra and its Applications 461, 163-199, 2014 | 30 | 2014 |
Semigroup of matrices acting on the max-plus projective space G Merlet Linear algebra and its applications 432 (8), 1923-1935, 2010 | 26 | 2010 |
Generalizations of bounds on the index of convergence to weighted digraphs G Merlet, T Nowak, H Schneider, S Sergeev Discrete Applied Mathematics 178, 121-134, 2014 | 19 | 2014 |
The ultimate rank of tropical matrices P Guillon, Z Izhakian, J Mairesse, G Merlet Journal of Algebra 437, 222-248, 2015 | 17 | 2015 |
Comparison of max-plus automata and joint spectral radius of tropical matrices L Daviaud, P Guillon, G Merlet arXiv preprint arXiv:1612.02647, 2016 | 15 | 2016 |
A coupling approach to estimating the Lyapunov exponent of stochastic max-plus linear systems RMP Goverde, B Heidergott, G Merlet European Journal of Operational Research 210 (2), 249-257, 2011 | 15 | 2011 |
Cycle time of stochastic max-plus linear systems. G Merlet | 14 | 2008 |
Produits de matrices aléatoires: exposants de Lyapunov pour des matrices aléatoires suivant une mesure de Gibbs, théoremes limites pour des produits au sens max-plus G Merlet Université Rennes 1, 2005 | 11 | 2005 |
Memory loss property for products of random matrices in the algebra G Merlet arXiv preprint math/0405452, 2004 | 11 | 2004 |
Limit theorems for iterated random topical operators G Merlet arXiv preprint math/0503634, 2005 | 10 | 2005 |
Semigroup identities of tropical matrices through matrix ranks Z Izhakian, G Merlet arXiv preprint arXiv:1806.11028, 2018 | 9 | 2018 |
Railway timetable stability analysis using stochastic max-plus linear systems RMP Goverde, B Heidergott, G Merlet Proceedings of the 3rd International Seminar on Railway Operations Research …, 2009 | 8 | 2009 |
New bounds on the periodicity transient of the powers of a tropical matrix: Using cyclicity and factor rank A Kennedy-Cochran-Patrick, G Merlet, T Nowak, S Sergeev Linear Algebra and its Applications 611, 279-309, 2021 | 7 | 2021 |
A fast approximation algorithm for the Lyapunov exponent of stochastic max-plus systems RMP Goverde, B Heidergott, G Merlet 2008 9th international workshop on discrete event systems, 49-54, 2008 | 7 | 2008 |
On the tightness of bounds for transients of weak CSR expansions and periodicity transients of critical rows and columns of tropical matrix powers G Merlet, T Nowak, S Sergeev Linear and Multilinear Algebra 70 (19), 4320-4350, 2022 | 6 | 2022 |
Memory loss property for products of random matrices in the max-plus algebra G Merlet Mathematics of Operations Research 35 (1), 160-172, 2010 | 6 | 2010 |
Memory loss property for products of random matrices in the max-plus algebra G Merlet Mathematics of Operations Research 35 (1), 160-172, 2010 | 6 | 2010 |
Théoreme d’oseledec. séparation des exposants de lyapunov dans deux cas simples G Merlet, A RAUGI Mémoire de DEA, 2002 | 4 | 2002 |
42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017) R Impagliazzo, V Kabanets, A Kolokolova, P McKenzie, S Romani, ... Schloss Dagstuhl-Leibniz-Zentrum für Informatik GmbH, 2017 | 3 | 2017 |
A central limit theorem for stochastic recursive sequences of topical operators G Merlet | 3 | 2007 |