On the dynamics of a rational semigroup on a convolution measure algebra

A. T. Baraviera, E. R. Oliveira, F. B. Rodrigues

We are going to study the dynamical properties of the rational semigroup $Q_t(\mu )$ where $Q_t(\mu )=(1-t)\mu \ast (1-t\mu {)}^{-1},$ for $t\in [0,1)$, that is defined for $μ\in \mathcal{…