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On the quenched CLT for stationary Markov chains
Published 1 Sep 2022 in math.PR | (2209.03146v1)
Abstract: In this paper we give sufficient conditions for the almost sure central limit theorem started at a point, known under the name of quenched central limit theorem. This is achieved by using a new idea of conditioning with respect to both the past and the future of the Markov chain. As applications we provide a new sufficient projective conditions for the quenched CLT.
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