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math.NT2024
On the set of stable primes for postcritically infinite maps over number fields
Joachim König
Many interesting questions in arithmetic dynamics revolve, in one way or another, around the (local and/or global) reducibility behavior of iterates of a polynomial. We show that f…
math.NT2024
Sparsity of stable primes for dynamical sequences
Joachim König
We show that a dynamical sequence of polynomials over a number field whose set of stable primes is of positive density must necessarily have a very restri…