Florence Merlevède, Magda Peligrad, Costel Peligrad
Published 2020-06-23Version 1
In this paper we investigate the local limit theorem for additive functionals of a nonstationary Markov chain with finite or infinite second moment. The moment conditions are imposed on the individual summands and the weak dependence structure is expressed in terms of some uniformly mixing coefficients.
Local limit theorem for time-inhomogeneous functions of Markov processes
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The local limit theorem on nilpotent Lie groups
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