Complexity results for β-expansions

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• Simon Baker (University of Birmingham)
• Thursday 25 November 2021, 15:00-16:00
• Zoom.

If you have a question about this talk, please contact David Craven.

β-expansions are a simple generalisation of the well known binary/ternary/decimal representations of real numbers. One of the most interesting properties they have is that a real number x almost surely has uncountably many β-expansions. This means one can ask interesting questions about the size and complexity of the set of expansions. In this talk I will survey some results on the complexity of this set. The goal of the talk is to give an introduction to this topic and to the techniques involved. I will also pose some open questions.

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

This talk is included in these lists:

• School of Mathematics events
• Topology and Dynamics seminar
• Zoom

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