Spectral and dynamical results related to certain non-integer base expansions on the unit interval

Horia D. Cornean, Ira W. Herbst, Giovanna Marcelli

We consider certain non-integer base ${\hat{I}}^2$-expansions of Parry's type and we study various properties of the transfer (Perron-Frobenius) operator $\mathcal{P}:L^p([0,1])\mapsto L^p(…