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math.DS2023★ 1 cited
Rates in almost sure invariance principle for nonuniformly hyperbolic maps
C Cuny, J Dedecker, A Korepanov +1
We prove the Almost Sure Invariance Principle (ASIP) with close to optimal error rates for nonuniformly hyperbolic maps. We do not assume exponential contraction along stable leave…
math.PR2023
Strong approximations for a class of dependent random variables with semi exponential tails
C Cuny, J Dedecker, F Merlevède
We give rates of convergence in the almost sure invariance principle for sums of dependent random variables with semi exponential tails, whose coupling coefficients decrease at a s…