Summary
L′ Gaussian processes of a certain class are shown to satisfy generalized Langevin equations. Examples are fluctuation limits of several infinite particle systems, in particular infinite particle branching Brownian motions with immigration under various scalings and the voter model with hydrodynamic scaling.
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Partially supported by CONACyT grants PCCBBNA 002042 and 140102 G203-006 (México) and a grant of the NSERC (Canada)
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Bojdecki, T., Gorostiza, L.G. Langevin equations for L′-Valued Gaussian processes and fluctuation limits of infinite particle systems. Probab. Th. Rel. Fields 73, 227–244 (1986). https://doi.org/10.1007/BF00339938
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DOI: https://doi.org/10.1007/BF00339938