Multifractal analysis of maximal product of consecutive partial quotients in continued fractions

Kunkun Song, Dingding Yu, Yueli Yu

Let $[a_1(x),a_2(x),\dots ,a_n(x),\dots ]$ be the continued fraction expansion of an irrational number $x\in (0,1)$. We study the growth rate of the maximal product of consecut…