### Random iterations of homeomorphisms on the circle

Ergodic Theory and Dynamical Systems Seminar

24th February 2022, 2:00 pm – 3:00 pm

Online,

Iterated function systems (IFSs) are useful for creating fractals, interesting probability

distributions and enable a unifying framework for analysing stochastic processes with

Markovian properties.

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.

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