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math.CO2024
A graph-theoretic proof of Cobham's Dichotomy for automatic sequences
Mieke Wessel
We give a new graph-theoretic proof of Cobham's Theorem which says that the support of an automatic sequence is either sparse or grows at least like for some . The proo…
math.NT2024
On Freiman's Theorem in a function field setting
Mieke Wessel
We prove some new instances of a conjecture of Bachoc, Couvreur and Zémor that generalizes Freiman's Theorem to a multiplicative version in a function field setting. As a co…