Dynamical Systems Seminar

We introduce the notion of a balanced infinite iterated function system. The idea comes from the concept of a balanced shift introduced by Baker and Ghenciu. In this talk we pay particular attention to the case when Bowen formula holds and under which conditions a suitable measure is supported on the limit set of the iterated function system. We also introduce and study boundedly supermultiplicative infinite iterated function systems. Several examples will be given.