Some Limit Theorems for Linear Oscillators with Noise in the Coefficients

Physics – Accelerator Physics

Scientific paper

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43 pages. Latex. No figures

Scientific paper

Some limit theorems are proven for the linear oscillator with random
coefficients. The asymptotic behaviour of the moments is studied in detail. The
technique presented in this paper can be applied to general linear systems with
noise and is well suited for the investigation of stochastic beam dynamics in
accelerators.

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