My research field is stochastic Discrete Event Systems especially max-plus linear ones, which model a wide class of nerworks.
DES, (max,+) and (min,+) semiring, weighted automata, timed Petri nets, applications topical functions, stochastic recursive sequences, performance evaluation.
Ergodic theory tools :Products of random matrices, Lyapunov exponents, limit theorems, mixing, spectral gap, martingales approximation, sub-additivity.
Applications fields:Transportation (especially trains) and communication networks, scheduling, production systems. theoritical physics.