Asymptotics for Some Logistic Maps and the Renormalization Group

P. A. Faria da Veiga, M. O'Carroll

We explain the relation between the $r=1$ logistic map $x_{i+1}=r{x}_i(1-x_i)$, $x_i\in \mathbb{R}$, $i=0,1,\dots$, $r>0$ and $x_0\ge 0$, and the RG flow in the multiscale analysis of…