A REMARK CONCERNING THE THERMODYNAMICAL LIMIT OF THE LYAPUNOV SPECTRUM

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Abstract
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→∞. The main result proven under rather general conditions gives the existence of this modified limiting distribution of Lyapunov Spectrum.

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