Thursday, December 6, 2018 - 15:30 in V2-210/216
Classification of Substitution Dynamical Systems
A talk in the Mathematisches Kolloquium series by
Mike Keane from Delft
| Abstract: |
Substitution dynamical systems are perhaps the simplest non-trivial infinite systems. After a brief introduction, I shall attempt to explain the current knowledge, given two such systems, whether these two systems are conjugate (i.e. isomorphic), using easy-to-understand examples given by the Toeplitz, Morse, Fibonacci, and Pell systems. At the end, a well-known conjecture (explained to me first by Jacques Neveu in 1970 on the way from Oberwolfach to Paris) involving the so-called Kolakoski system will be discussed.
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