4 papers
On relative fields of definition for log pairs, Vojta's height inequalities and asymptotic coordinate size dynamics
Nathan Grieve, Chatchai Noytaptim
We build on the perspective of the works \cite{Grieve:Noytaptim:fwd:orbits}, \cite{Matsuzawa:2023}, \cite{Grieve:qualitative:subspace}, \cite{Grieve:chow:approx}, \cite{Grieve:Divi…
Towards Common Zeros of Iterated Morphisms
Chatchai Noytaptim, Xiao Zhong
Recently, the authors have proved the finiteness of common zeros of two iterated rational maps under some compositional independence assumptions. In this article, we advance toward…
Preperiodic points with local rationality conditions in the quadratic unicritical family
Chatchai Noytaptim
For rational numbers , we present a trichotomy of the set of totally real (totally -adic, respectively) preperiodic points for maps in the quadratic unicritical family $f_c(x…
Totally real algebraic integers in short intervals, Jacobi polynomials, and unicritical families in arithmetic dynamics
Chatchai Noytaptim, Clayton Petsche
We classify all post-critically finite unicritical polynomials defined over the maximal totally real algebraic extension of . Two auxiliary results used in the proof o…