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math.NT2013
The field of definition for dynamical systems on P^N
Benjamin Hutz, Michelle Manes
Let Hom^N_d be the set of morphisms of degree d from P^N to itself. For f an element of PGL_{N+1}, let phi^f represent the conjugation action f^{-1} phi f. Let M^N_d = Hom_d^N/PGL_…
math.NT2013
Periodic points in towers of finite fields for polynomials associated to algebraic groups
Michelle Manes, Bianca Thompson
We find the limiting proportion of periodic points in towers of finite fields for polynomial maps associated to algebraic groups, namely pure power maps z^d and Chebyshev polynomia…