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Monday 08 May 2017Dynamics Seminar: Topological conjugacy of iterated random homeomorphisms of the circle

Julian Newman -

Harrison 209 14:30-15:30

The natural notion of "isomorphism" for continuous self-maps of a metric space is topological conjugacy. Now a random self-map of a metric space can be studied from a "dynamical" point of view by considering i.i.d. iterations; working from this point of view, the definition of "topological conjugacy" can be extended to the context of a random pair of self-maps of a metric space. Under some reasonable assumptions, we will provide a complete characterisation of topological conjugacy for random orientation-preserving homeomorphisms of the circle.

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