# Infinite Chain of Harmonic Oscillators Under the Action of the Stationary Stochastic Force

@inproceedings{Lykov2022InfiniteCO, title={Infinite Chain of Harmonic Oscillators Under the Action of the Stationary Stochastic Force}, author={Alexandr Lykov and Margarita Melikian}, year={2022} }

We consider countable system of harmonic oscillators on the real line with quadratic interaction potential with ﬁnite support and local external force (stationary stochastic process) acting only on one ﬁxed particle. In the case of positive deﬁnite potential and initial conditions lying in l 2 ( Z )-space the perpesentation of the deviations of the particles from their equilibrium points are found. Precisely, deviation of each particle could be represented as the sum of some stationary process…

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