Extreme values for Benedicks-Carleson quadratic maps

Ana Cristina Moreira Freitas, Jorge Milhazes Freitas

We consider the quadratic family of maps given by $f_a(x)=1-a{x}^2$ with $x\in [-1,1]$, where $a$ is a Benedicks-Carleson parameter. For each of these chaotic dynamical systems we…