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math.NT2021
Two-variable polynomials with dynamical Mahler measure zero
Annie Carter, Matilde Lalín, Michelle Manes +2
We discuss several aspects of the dynamical Mahler measure for multivariate polynomials. We prove a weak dynamical version of Boyd--Lawton formula and we characterize the polynomia…
math.NT2021
Some Applications of Dynamical Belyi Polynomials
Jacqueline Anderson, Michelle Manes, Bella Tobin
We give necessary and sufficient conditions for post-critically finite polynomials to have persistent bad reduction at a given prime. We also answer in the negative a pair of quest…