University of Birmingham > Talks@bham > Topology and Dynamics seminar > Random substitutions and topological mixing

Random substitutions and topological mixing

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I’ll introduce a new class of symbolic dynamical system associated with ‘random substitutions’. They’re the positive-entropy cousins of substitution subshifts and so many of the techniques that are used to study substitutions can analogously be utilised in the random setting. I’ll explain how we are able to determine when one of these subshifts is topologically mixing by studying an appropriate abelianisation of the substitution and which cases are still unresolved.

Joint work with Eden Provido, Lorenzo Sadun and Gwen Tadeo

This talk is part of the Topology and Dynamics seminar series.

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