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20142026
most citedLimit theorems for some skew products with mixing base maps

18 citations · 59 across the 39 of their papers we have counts for

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Showing 2021Show all

5 papers · 1 filter

math.PR2021

A Berry-Esseen theorem and Edgeworth expansions for uniformly elliptic inhomogeneous Markov chains

Dmitry Dolgopyat, Yeor Hafouta

We prove a Berry-Esseen theorem and Edgeworth expansions for partial sums of the form , where is a uniformly elliptic inhomogeneous Ma…

math.PR2021★ 1 cited

On the functional CLT for slowly mixing triangular arrays

Yeor Hafouta

In \cite{MPU} a functional CLT was obtained for triangular arrays satisfying the Lindeberg condition, that the sum of the individual variances is at most the same order as the vari…

math.DS2021

Large deviations, moment estimates and almost sure invariance principles for skew products with mixing base maps and expanding on the average fibers

Yeor Hafouta

In this paper we show how to apply classical probabilistic tools for partial sums generated by a skew product , built over a sufficiently well mixing…

math.DS2021

A vector-valued almost sure invariance principle for random expanding on average cocycles

Davor Dragičević, Yeor Hafouta, Julien Sedro

We obtain a quenched vector-valued almost sure invariance principle (ASIP) for random expanding on average cocycles. This is achieved by combining the adapted version of Gouëzel's…

math.PR2021

Convergence rates in the functional CLT for alpha-mixing triangular arrays

Yeor Hafouta

We obtain convergence rates (in the Levi-Prokhorove metric) in the functional central limit theorem (CLT) for partial sums of triangular arrays $\{ξ_{1,…