Patrick Ingram
Published 2020-07-01Version 1
We demonstrate how recent work of Favre and Gauthier, together with a modification of a result of the author, shows that a family of polynomials with infinitely many post-critically finite specializations cannot have any periodic cycles with multiplier of very low degree, except those which vanish, generalizing results of Baker and DeMarco, Favre and Gauthier, and Ghioca and Ye.
Distribution of polynomials with cycles of given multiplier
Linearization of germs: regular dependence on the multiplier
Multipliers of periodic orbits of quadratic polynomials and the parameter plane
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