14 citations · 33 across the 30 of their papers we have counts for
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An example of an automatic sequence with non-regular abelian complexity
Jean-Paul Allouche, Narad Rampersad, Michel Rigo +2
Answering a question of Madill and Rampersad, we give an example a of a -automatic sequence whose abelian complexity is not -regular.
Gosper's and Ramanujan's infinite products and generalizations
Jean-Paul Allouche, John M. Campbell, Simon R. Holcombe +2
Gosper introduced many remarkable formulas involving infinite products. One such formula provides an evaluation of the product $$\prod_{n \geq 1} \frac{1}{e}\left(\frac{1}{3n} + 1\…
Symbols frequencies in the Thue--Morse word in base and related conjectures
Julien Cassaigne, Bastiàn Espinoza, Michel Rigo +1
We study a binary Thue--Morse-type sequence arising from the base- expansion of integers, an archetypal automatic sequence in a rational base numeration system. Because the se…
Factor-balancedness, linear recurrence, and factor complexity
Bastiàn Espinoza, Pierre Popoli, Manon Stipulanti
In the study of infinite words, various notions of balancedness provide quantitative measures for how regularly letters or factors occur, and they find applications in several area…