BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.2.3.1//EN TZID:Europe/Paris X-WR-TIMEZONE:Europe/Paris BEGIN:VEVENT UID:6517@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20210309T110000 DTEND;TZID=Europe/Paris:20210309T120000 DTSTAMP:20241120T201728Z URL:https://www.i2m.univ-amu.fr/evenements/on-balanced-and-abelian-propert ies-of-circular-words-over-a-ternary-alphabet/ SUMMARY:Daria Bulgakova (CPT\, Aix Marseille Université): On balanced and abelian properties of circular words over a ternary alphabet DESCRIPTION:Daria Bulgakova: We will show that for a ternary alphabet\, bal anced circular words form a subset of the circular words with abelian comp lexity ≤3. We recall the known classification of words for the former se t\, and give a complete classification for the latter. For balanced circul ar words a graphical representation as discrete approximations generalizin g the definition of Christoffel words to a 3-dimensional space will be pro posed.\nOn 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.\nVisio : http s://bbb-test.univ-amu.fr/b/sar-xmr-npe\n\n \;\n CATEGORIES:Séminaire,Ernest,Hybrid LOCATION:I2M Luminy - TPR2\, Salle de Séminaire 304-306 (3ème étage)\, 1 63 Avenue de Luminy\, Marseille\, 13009\, France X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - TPR2\, Sall e de Séminaire 304-306 (3ème étage):geo:0,0 END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:STANDARD DTSTART:20201025T020000 TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET END:STANDARD END:VTIMEZONE END:VCALENDAR