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.