On balanced and abelian properties of circular words over a ternary alphabet

Daria Bulgakova
CPT, Aix Marseille Université

Date(s) : 09/03/2021   iCal
11 h 00 min - 12 h 00 min

We will show that for a ternary alphabet, balanced circular words form a subset of the circular words with abelian complexity ≤3. We recall the known classification of words for the former set, and give a complete classification for the latter. For balanced circular words a graphical representation as discrete approximations generalizing the definition of Christoffel words to a 3-dimensional space will be proposed.
On a final note, we will discuss the problem of classification of balanced circular words for an N-ary alphabet, and say a few words about motivation emerged from the construction of musical scales.

Visio : https://bbb-test.univ-amu.fr/b/sar-xmr-npe


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