A parameter ASIP for the quadratic family

Magnus Aspenberg, Viviane Baladi, Tomas Persson

Consider the quadratic family $T_a(x)=ax(1-x)$, for $x\in [0,1]$ and mixing Collet--Eckmann (CE) parameters $a\in (2,4)$. For bounded $\ddot{I}†$, set $\tilde φ_{a} := φ- \int…