Sharp iteration asymptotics for transfer operators induced by greedy ${\hat{I}}^2$-expansions

Horia D. Cornean, Kasper S. Sørensen

We consider base-${\hat{I}}^2$ expansions of Parry's type, where $a_0\ge a_1\ge 1$ are integers and $a_0<{\hat{I}}^2<a_0+1$ is the positive solution to $β^2 = a_0β+ a_1$ (the golden ratio corr…