Cigole Thomas

collaborators

2 papers

math.AG2025

Asymptotic Dynamics on Character Varieties over Finite Fields

Cigole Thomas

In this paper, we prove the lack of asymptotic transitivity of the outer automorphism group action of $Z^{r}$ on $SL_{n} (F_{q})$ -character varieties of $\mathb…

math.NT2024

Dynamical Irreducibility of Certain Families of Polynomials over Finite Fields

Tori Day, Rebecca DeLand, Jamie Juul +3

We determine necessary and sufficient conditions for unicritical polynomials to be dynamically irreducible over finite fields. This result extends the results of Boston-Jones and H…