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# Tag Archives: automata

## RA position in St Andrews

We are looking for a postdoctoral research assistant on the project “Bi-synchronizing automata, outer automorphism groups of Higman–Thompson groups, and automorphisms of the shift”. The Principal Investigator is Collin Bleak; I am the co-I. The project involves an interesting mix … Continue reading

## Research Day 2017

Yesterday was the School’s third Research Day, a successful and enjoyable event involving contribution from all divisions. Hopefully the event is now self-sustaining. Short summaries of a few of the talks follow. The first two speakers both had “automata” in … Continue reading

## The Higman–Thompson groups

I celebrated the last day of spring last week with the appearance of two substantial papers on the arXiv: one with Maria Elisa Fernandes, Dimitri Leemans, and Mark Mixer, proving that the maximum rank of a regular polytope whose group … Continue reading

Posted in exposition
Tagged automata, Cantor space, Grtaham Higman, homeomorphisms, regular polytopes, Richard Thompson, synchronization, transducers
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## G. C. Steward lectures 2008

While I was uploading lecture notes, I also put on the page the notes from my G. C. Steward lectures at Gonville and Caius College in 2008. You can find them here. I spent the first half of 2008 in … Continue reading

Posted in history, Lecture notes, Neill Cameron artwork
Tagged automata, bagali polo, Euler, Latin squares, line graphs, magic squares, Moebius inversion, OEIS, On-line Encyclopedia of Integer Sequences, parking functions, partitions, root systems, statistics, Sudoku, synchronization, Tehran
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## Folding de Bruijn graphs

I wrote recently about foldings of de Bruijn graphs, why we are interested in them, and how pleased I was that we had agreed that the de Bruijn graph with word length 4 over a 2-letter alphabet has 1247 foldings … Continue reading

## 1247

Yesterday my colleague Collin Bleak sent me an email containing the number 1247. I will explain why this made me so pleased. Automata Our problem concerns automata. If you know Collin, you may suspect that it has something to do … Continue reading