Some Limit Theorems for Linear Oscillators with Noise in the Coefficients ∗
نویسندگان
چکیده
Using the tools and methods developed in [1] limit theorems are proven for the linear oscillator with random coefficients. The asymp-totic 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. * extended version including proofs of a contribution by V. B. at the Workshop " Non-linear and Stochastic Beam Dynamics in Accelerators-a Challenge to Theoretical and Computational Physics " Lüneburg (1997)
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