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Dynamical Systems and Analysis Seminar - Petra Staynova

Dates:4 March 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: Petra Staynova (University of Derby)

Title: A cornucopia of bounds

Abstract: In this talk we consider right-infinite words over a finite alphabet, which are generated via substitution rules. A well-known way of studying complexity of these words is via the question 'how many finite subwords of a given length does this infinite word have?', which gives rise to the notion of subword complexity. If instead one considers what types of (finite) subwords occur as arithmetic subsequences, one can obtain a different and very interesting measure of complexity. In this talk, we consider the occurrence of monochromatic (i.e. same letter) arithmetic progressions within right-infinite words, and provide asymptotic growth rates in some (general) cases. No previous knowledge is assumed, and the talk will start from the basics of substitution systems.

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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