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MR1477651 (98m:60108) 60J15 (60F05 60G60 60K35 82B41)
Boldrighini, C.; Minlos, R. A.; Pellegrinotti, A. Almost-sure central limit theorem for a Markov model of random walk in dynamical random environment. Probab. Theory Related Fields 109 (1997), no. 2, 245–273.
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