Cuny, C.; Dedecker, J.; Merlevède, F.; Peligrad, M. Berry-Esseen type bounds for the left random walk on \({\mathrm{GL}_d}(\mathbb{R})\) under polynomial moment conditions. (English) Zbl 1519.60031 Ann. Probab. 51, No. 2, 495-523 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 60B15 60G50 PDFBibTeX XMLCite \textit{C. Cuny} et al., Ann. Probab. 51, No. 2, 495--523 (2023; Zbl 1519.60031) 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
Cuny, Christophe; Dedecker, Jérôme; Jan, Christophe Limit theorems for the left random walk on \(\mathrm{GL}_{d}(\mathbb{R})\). (English. French summary) Zbl 1388.60017 Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 1839-1865 (2017). MSC: 60B15 60B12 60F05 60F17 PDFBibTeX XMLCite \textit{C. Cuny} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 53, No. 4, 1839--1865 (2017; Zbl 1388.60017) Full Text: DOI arXiv Euclid
Cuny, Christophe; Merlevède, Florence Strong invariance principles with rate for “reverse” martingale differences and applications. (English) Zbl 1353.60031 J. Theor. Probab. 28, No. 1, 137-183 (2015). Reviewer: Hans Crauel (Frankfurt am Main) MSC: 60F17 30C30 37E05 60G48 PDFBibTeX XMLCite \textit{C. Cuny} and \textit{F. Merlevède}, J. Theor. Probab. 28, No. 1, 137--183 (2015; Zbl 1353.60031) Full Text: DOI arXiv HAL
Cuny, Christophe A compact LIL for martingales in \(2\)-smooth Banach spaces with applications. (English) Zbl 1321.60057 Bernoulli 21, No. 1, 374-400 (2015). Reviewer: Neville Weber (Sydney) MSC: 60F15 60F17 60G42 60B12 60G10 PDFBibTeX XMLCite \textit{C. Cuny}, Bernoulli 21, No. 1, 374--400 (2015; Zbl 1321.60057) Full Text: DOI arXiv Euclid
Chazottes, Jean-René; Cuny, Christophe; Dedecker, Jérôme; Fan, Xiequan; Lemler, Sarah Limit theorems and inequalities via martingale methods. (English. French summary) Zbl 1347.60047 ESAIM, Proc. 44, 177-196 (2014). MSC: 60G42 60F99 60F17 60G48 60G10 PDFBibTeX XMLCite \textit{J.-R. Chazottes} et al., ESAIM, Proc. 44, 177--196 (2014; Zbl 1347.60047) Full Text: DOI
Cuny, Christophe; Merlevède, Florence On martingale approximations and the quenched weak invariance principle. (English) Zbl 1354.60031 Ann. Probab. 42, No. 2, 760-793 (2014). MSC: 60F25 60G42 60G10 60F17 60F05 60F10 60F15 PDFBibTeX XMLCite \textit{C. Cuny} and \textit{F. Merlevède}, Ann. Probab. 42, No. 2, 760--793 (2014; Zbl 1354.60031) Full Text: DOI arXiv Euclid