University of Birmingham > Talks@bham > Topology and Dynamics seminar > On Arithmetic Progressions Within Binary Words

On Arithmetic Progressions Within Binary Words

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  • UserPetra Staynova (University of Derby)
  • ClockThursday 15 April 2021, 15:00-16:00
  • HouseZoom.

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

We will present results on the existence of long arithmetic progressions in the Thue-Morse word and in a class of generalised Thue-Morse words. Moreover, we will show how the arguments are inspired by van der Waerden’s proof for the existence of arbitrary long monochromatic arithmetic progressions in any finite colouring of the (positive) integers.

This talk is based on joint work with I. Aedo, U. Grimm, and Y. Nagai.

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

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