Benjamin Hutz

2Thomas J Tucker
2Xander Faber
1T J Tucker
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Let K be a number field, let ϕ ∈ K (t) be a rational map of degree at least 2, and let α, β ∈ K. We show that if α is not in the forward orbit of β, then there is a positive proportion of primes p of K such that α mod p is not in the forward orbit of β mod p. Moreover, we show that a similar result holds for several maps and several points. We also present(More)
  • Rafe Jones, Jordan Cahn, Jacob Spear, Robert Benedetto, Patrick Ingram, Alon Levy +12 others
  • 2014
Research Interests • Galois theory and irreducibility of polynomials (particularly involving iterated morphisms) • Discrete dynamics (particularly iteration of rational functions over global and finite fields) • Automorphism groups of rooted trees and iterated monodromy groups • Elliptic curves and torsion fields • Recurrence sequences Perfect powers in(More)
For a quadratic endomorphism of the affine line defined over the rationals, we consider the problem of bounding the number of rational points that eventually land at the origin after iteration. In the article " Uniform Bounds on Pre-Images Under Quadratic Dynamical Systems, " by the present authors and five others, it was shown that the number of rational(More)
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