37 citations · 140 across the 23 of their papers we have counts for
27 papers
Global Central Limit Theorems for Markov chains with normal transition operator
Christophe Cuny, Michael Lin
Let be a Markov operator on a general state space with invariant probability , assumed ergodic. When is normal in , we prove the necessity of uniform erg…
On the growth rate of powers of a strongly Kreiss bounded operator on -spaces
Loris Arnold, Christophe Cuny
Let be a strongly Kreiss bounded linear operator on . We obtain a bound on the rate of growth of the norms of the powers of . The bound is optimal with respect to the p…
Limit theorems for iid products of positive matrices
C Cuny, J Dedecker, F Merlevède
We study stochastic properties of the norm cocycle associated with iid products of positive matrices. We obtain the almost sure invariance principle (ASIP) with rate o(n 1/p) under…
Good sequences with uncountable spectrum and singular asymptotic distribution
Christophe Cuny, François Parreau
We construct a good sequence with uncountable spectrum. As an application, we answer to a question of Lesigne, Quas Rosenblatt and Wierdl.
Deviation and concentration inequalities for dynamical systems with subexponential decay of correlation
C Cuny, J Dedecker, F Merlevède
We obtain large and moderate deviation estimates, as well as concentration inequalities, for a class of nonuniformly expanding maps with stretched exponential decay of correlations…
On the convergence of bilateral ergodic averages
Christophe Cuny, Yves Derriennic
We study the almost sure convergence of bilateral ergodic averages for not necessarily integrable functions and relate it to the ones of the forward and backward averages, hence co…