Random iterations of homeomorphisms on the circle
Ergodic Theory and Dynamical Systems Seminar
24th February 2022, 2:00 pm – 3:00 pm
Iterated function systems (IFSs) are useful for creating fractals, interesting probability
distributions and enable a unifying framework for analysing stochastic processes with
In this talk we will show how discrete Markov chains and random i.i.d. iterations of functions from an iterated function system of homeomorphisms on the circle can be analyzed in terms of iterated function systems with probabilities which are non-expansive on average.