Edgar Matias da Silva
Abstract:
We study Markovian random iterations of homeomorphisms on the circle. Recently, Malicet stablished an invariance principle for random iterations of homeomorphisms on the circle over non-invertible dynamical systems and use it to obtain local synchronization in the i.i.d. case. We will present a version of the invariance principle for random iterations over invertible dynamical systems and show how to use it to obtain local synchronization in the Markovian case.
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