Specification and Synchronisation for unique expansions

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• Rafael Alcaraz Barrera (Universidad Autónoma de San Luis Potosí, Mexico)
• Thursday 05 September 2019, 11:30-12:30
• Lecture Theater C, Watson Building.

If you have a question about this talk, please contact Robert Leek.

Given a positive integer M and q in (1,M+1] we study expansions in base q for real numbers over the alphabet {0,...,M}. In particular, we study some dynamical properties of a natural occurring subshift related to unique expansions in such base q known as symmetric lexicographic subshift. During the talk we will give a characterisation of the set of q’s such that such subshift has the specification property as well as the set of q’s such that such subshift is synchronised. We relate our results to those shown by Schmeling in (Ergodic Theory and Dynamical Systems, 17:675—694, 6 1997) in the context of greedy expansions in base q.

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

This talk is included in these lists:

• Lecture Theater C, Watson Building
• School of Mathematics events
• Topology and Dynamics seminar

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