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UID:8994@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260313T110000
DTEND;TZID=Europe/Paris:20260313T120000
DTSTAMP:20260304T215127Z
URL:https://www.i2m.univ-amu.fr/evenements/seminaire-rauzy-13-mars-2026/
SUMMARY:Pierre POPOLI (Université de Waterloo (Ontario\, Canada)): Factor-
 balancedness\, linear recurrence and factor complexity
DESCRIPTION:Pierre POPOLI: In the study of infinite words\, various notions
  of balancedness provide quantitative measures for how regularly letters o
 r factors occur\, and they find applications in several areas of mathemati
 cs and theoretical computer science. In this talk\, I will present new res
 ults about factor-balancedness and uniform factor-balancedness. First\, we
  establish general sufficient conditions for an infinite word to be (unifo
 rmly) factor-balanced\, applicable in particular to any given linearly rec
 urrent word. These conditions are formulated in terms of $\\mathcal{S}$-ad
 ic representations and generalize results of Adamczewski on primitive subs
 titutive words. Also\, as an application of our criteria\, we characterize
  the Sturmian words and ternary Arnoux--Rauzy words that are uniformly fac
 tor-balanced as precisely those with bounded weak partial quotients. If ti
 me permits\, I will also explain the construction of our example of a fact
 or-balanced word with exponential factor complexity\, inspired by a questi
 on raised in 2025 by Arnoux\, Berthé\, Minervino\, Steiner\, and Thuswald
 ner.\n\nThis talk is based on joint work with B. Espinoza and M. Stipulant
 i.
CATEGORIES:Séminaire,Rauzy
LOCATION:Saint-Charles - FRUMAM  (2ème étage)\, 3 Place Victor Hugo\, Mar
 seille\, 13003\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse
 ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM  (
 2ème étage):geo:0,0
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DTSTART:20251026T020000
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