Intermitência e análise das Taxas de Mixing e Scaling

Abstract

Since the work of Pomeau and Maneville [27] the study of intermittency has been happening increasingly over the years. Gaspard and Wang [17] introduced a generating function of renewal sequences arising from the distribution of return times, and from this several studies have been developed in this environment due to the rich properties they have. In this work we are interested to obtain an exact polynomial estimate for the asymptotic behavior of the mixing rate when the invariant measure is nite and of the scaling rate when the measure is in nite, both cases addressed by Isola [20]. For this we analyze the asymptotic behavior of the coe cients of the Taylor series obtained from the generating function of the renewal sequence. This series de nes a holomorphic function in the unit open disk and it converges at every point except for z = 1 where it has a non-polar singularity.