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math.NT2021
Stochastic Equidistribution and Generalized Adelic Measures
John Doyle, Paul Fili, Bella Tobin
We study the dynamics of stochastic families of rational maps on the projective line. As such families can be infinite and may not typically be defined over a single number field,…
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…