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Dynamical Systems and Analysis Seminar - Reem Yassawi

Dates:26 February 2024
Times:14:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Analysis and dynamical systems"
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

Speaker: Reem Yassawi (Queen Mary University)

Title: Mahler equations for Zeckendorf numeration

Abstract: Fixed points of Pisot substitutions can be visualised as projections, via a precompact acceptance window, of cut and project schemes. Fixed points of constant length substitutions are projections, along a diagonal, of a two-dimensional array which is the sequence of coefficients of the expansion of a rational function of two variables. In an attempt to understand the relationship between these two results, we define generalised versions of equations of q-Mahler type, which fixed points of constant length-q substitutions satisfy. For simplicity I will focus on substitutions whose characteristic polynomial has the golden mean as leading root. We show that fixed points of these substitutions satisfy a Zeckendorf-Mahler equation, and conversely, that isolating Zeckendorf-Mahler equations generate such fixed points. This is joint work with Olivier Carton.

Room: Frank Adams 1

Further information: https://personalpages.manchester.ac.uk/staff/yotam.smilansky/dynamics_analysis

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Frank Adams 1
Alan Turing Building
Manchester

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Yotam Smilansky

yotam.smilansky@manchester.ac.uk

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