Cuny, Christophe; Dedecker, Jerome; Korepanov, A.; Merlevède, Florence Rates in almost sure invariance principle for slowly mixing dynamical systems. (English) Zbl 1448.37008 Ergodic Theory Dyn. Syst. 40, No. 9, 2317-2348 (2020). Reviewer: George Stoica (Saint John) MSC: 37A50 37E05 60F17 60G10 PDFBibTeX XMLCite \textit{C. Cuny} et al., Ergodic Theory Dyn. Syst. 40, No. 9, 2317--2348 (2020; Zbl 1448.37008) Full Text: DOI arXiv
Cuny, C.; Dedecker, J.; Korepanov, A.; Merlevède, F. Rates in almost sure invariance principle for quickly mixing dynamical systems. (English) Zbl 1434.60104 Stoch. Dyn. 20, No. 1, Article ID 2050002, 28 p. (2020). MSC: 60F17 37E05 PDFBibTeX XMLCite \textit{C. Cuny} et al., Stoch. Dyn. 20, No. 1, Article ID 2050002, 28 p. (2020; Zbl 1434.60104) Full Text: DOI arXiv
Cuny, Christophe; Dedecker, Jérôme; Merlevède, Florence On the Komlós, Major and Tusnády strong approximation for some classes of random iterates. (English) Zbl 1384.60071 Stochastic Processes Appl. 128, No. 4, 1347-1385 (2018). MSC: 60F17 60G10 60J05 PDFBibTeX XMLCite \textit{C. Cuny} et al., Stochastic Processes Appl. 128, No. 4, 1347--1385 (2018; Zbl 1384.60071) Full Text: DOI arXiv
Dedecker, Jérôme; Rio, Emmanuel; Merlevède, Florence Strong approximation of the empirical distribution function for absolutely regular sequences in \({\mathbb R}^d\). (English) Zbl 1293.60043 Electron. J. Probab. 19, Paper No. 9, 56 p. (2014). Reviewer: Ken-ichi Yoshihara (Yokohama) MSC: 60F17 60G10 PDFBibTeX XMLCite \textit{J. Dedecker} et al., Electron. J. Probab. 19, Paper No. 9, 56 p. (2014; Zbl 1293.60043) Full Text: DOI
Dedecker, Jérôme; Merlevède, Florence; Rio, Emmanuel Strong approximation results for the empirical process of stationary sequences. (English) Zbl 1284.60069 Ann. Probab. 41, No. 5, 3658-3696 (2013). Reviewer: Martin Wendler (Bochum) MSC: 60F17 60G10 PDFBibTeX XMLCite \textit{J. Dedecker} et al., Ann. Probab. 41, No. 5, 3658--3696 (2013; Zbl 1284.60069) Full Text: DOI arXiv Euclid