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- W3100691067 abstract "We study asymptotic properties of the Generalized Langevin Equation (GLE) in the presence of a wide class of external potential wells with a power-law decay memory kernel. When the memory can be expressed as a sum of exponentials, a class of Markovian systems in infinite-dimensional spaces is used to represent the GLE. The solutions are shown to converge in probability in the small-mass limit and the white-noise limit to appropriate systems under minimal assumptions, of which no Lipschitz condition is required on the potentials. With further assumptions about space regularity and potentials, we obtain $L^1$ convergence in the white-noise limit." @default.
- W3100691067 created "2020-11-23" @default.
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- W3100691067 date "2018-08-28" @default.
- W3100691067 modified "2023-09-24" @default.
- W3100691067 title "The Small-Mass Limit and White-Noise Limit of an Infinite Dimensional Generalized Langevin Equation" @default.
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- W3100691067 doi "https://doi.org/10.1007/s10955-018-2139-1" @default.
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