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math.PR2025
Rates of memory loss for null recurrent Markov chains
Ilya Chevyrev, Alexey Korepanov
Orey (1962) proved that for an irreducible, aperiodic, and recurrent Markov chain with transition operator , the sequence converges to zero in total variation for a…
math.PR2018
Rates in almost sure invariance principle for quickly mixing dynamical systems
C Cuny, J Dedecker, A Korepanov +1
For a large class of quickly mixing dynamical systems, we prove that the error in the almost sure approximation with a Brownian motion is of order O((log n)^a) with a 2. Spec…