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math.DS2026
Unlikely intersections in families of polynomial skew products
Chatchai Noytaptim, Xiao Zhong
Motivated by the study of unlikely intersection in the moduli space of rational maps, we initiate our investigation on algebraic dynamics for families of regular polynomial skew pr…
math.DS2026
A finiteness result for common zeros of iterates of rational maps
Chatchai Noytaptim, Xiao Zhong
Answering a question asked by Hsia and Tucker in their paper on the finiteness of greatest common divisors of iterates of polynomials, we prove that if are…
math.DS2024
Totally real algebraic numbers in generalized Mandelbrot set
Kevin G. Hare, Chatchai Noytaptim
In this article, we study some potential theoretical and topological aspects of the generalized Mandelbrot set introduced by Baker and DeMarco. For real, we study the set of a…