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math.DS2021
A Rauzy fractal unbounded in all directions of the plane
Mélodie Andrieu
We construct an Arnoux-Rauzy word for which the set of all differences of two abelianized factors is equal to . In particular, the imbalance of this word is infinite…
math.DS2018
Morphic words and equidistributed sequences
Mélodie Andrieu, Anna E. Frid
The problem we consider is the following: Given an infinite word on an ordered alphabet, construct the sequence , equidistributed on and such that $ν[m]<ν…