Gouëzel, Sébastien; Melbourne, Ian Moment bounds and concentration inequalities for slowly mixing dynamical systems. (English) Zbl 1351.37041 Electron. J. Probab. 19, Paper No. 93, 30 p. (2014). Summary: We obtain optimal moment bounds for Birkhoff sums, and optimal concentration inequalities, for a large class of slowly mixing dynamical systems, including those that admit anomalous diffusion in the form of a stable law or a central limit theorem with nonstandard scaling \((n\log n)^{1/2}\). Cited in 1 ReviewCited in 18 Documents MSC: 37A50 Dynamical systems and their relations with probability theory and stochastic processes 37A25 Ergodicity, mixing, rates of mixing 60F15 Strong limit theorems Keywords:moment bounds; concentration; dynamical systems; martingales; intermittent maps PDFBibTeX XMLCite \textit{S. Gouëzel} and \textit{I. Melbourne}, Electron. J. Probab. 19, Paper No. 93, 30 p. (2014; Zbl 1351.37041) Full Text: DOI arXiv