Dynamical Systems and Analysis Seminar - Eng-Jon Ong
| Dates: | 9 February 2026 |
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| Times: | 14:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Current University students |
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Speaker: Eng-Jon Ong (Queen Mary University of London)
Title: Discrete spectrum in S-adic substitution dynamical systems via the balanced pair algorithm
Abstract: Substitutions and S-adic dynamical systems are a natural framework for generating and studying infinite symbolic sequences via the iterative application of substitution rules. For two-letter symbolic dynamical systems arising from a single Pisot substitution, it is known that the associated dynamical system has purely discrete spectrum. In this talk, we extend this result to a class of S-adic systems generated by a finite set of substitutions. Our approach is based on the Balanced Pair Algorithm, and we prove that this algorithm terminates for two-symbol S-adic systems, a key step in establishing pure discrete spectrum in this setting. We also establish the existence of an asymptotic expansion rate for growing words in S-adic 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
