Chernoff and Berry-Esséen inequalities for Markov processes

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Convergence rates for rank-based models with applications to portfolio theory (2011, background): “[19] (see also Lezaud [30] and Gao et al.”
DEVIATION BOUNDS FOR ADDITIVE FUNCTIONALS OF MARKOV PROCESSES (2006, background): “We did not try to obtain the sharpest bounds in the previous Proposition because a similar (and a little more precise) result was obtained by Lezaud ([ 17 ]) using Kato’s perturbation theory.”
Transportation-information inequalities for Markov processes (2007, background): “Lezaud [28] proved a deviation inequality, which is better than (3.”
Concentration inequalities for Markov chains by Marton couplings and spectral methods (2012, background): “20) has been obtained for continuous time Markov processes by [29].”
A new Poisson-type deviation inequality for Markov jump processes with positive Wasserstein curvature (2009, methodology): “Hence we extend the tail estimates given in the bounded case by Lezaud (1998, 2001).”
Bernstein type's concentration inequalities for symmetric Markov processes (2010, unknown): “(1.1)”