2 problems

Let $cP(cell^2_\downarrow)$ be the space of probability measures on $cell^2_\downarrow$, and let $\mathscr R=\mathscr R_{d,L,\alpha}$ be the renormalization map obtained by indepen…

Let $(\boldsymbol{x}^{\scriptscriptstyle(n)})_{n\geqslant 1}$ satisfy Condition II$\tau$ for some $\tau\in(3,4)$, and let $M_n$ be as in the leader theorem. Write $\mathcal{W}_n$ f…