A remark concerning the thermodynamical limit of the Lyapunov spectrum

We consider dynamical systems of N particles confined in domains of volume V with pair-wise short range interaction. We propose a new definition of the limiting distribution of Lyapunov Spectrum according to which the thermodynamical limit transition is taken before the limit t --> infinity. The main result proven under rather general conditions gives the existence of this modified limiting distribution of Lyapunov Spectrum.