4 papers
math.NT2026
Dynamical GCD Problems and a Variant of the Dynamical Mordell-Lang Conjecture
She Yang, Xiao Zhong
In \cite{NZ25}, the authors resolved the rational function analogue of the finiteness results for greatest common divisors of iterates of polynomials established in \cite{HT17}. Th…
math.DS2026
Dynamical Mordell-Lang conjecture for split self-maps of affine curve times projective curve
Junyi Xie, She Yang, Aoyang Zheng
We prove the dynamical Mordell-Lang conjecture for product of endomorphisms of an affine curve and a projective curve over .
math.DS2025
Arithmetic Degrees are Cohomological Lyapunov Multipliers
Jiarui Song, Junyi Xie, She Yang
For endomorphisms of projective varieties, we prove that the arithmetic degree of a point with Zariski dense orbit must be a cohomological Lyapunov multiplier of the dynamical syst…
math.DS2025
Dynamical Mordell-Lang problem for automorphisms of surfaces in positive characteristic
Junyi Xie, She Yang
We solve the dynamical Mordell-Lang problem in positive characteristic for automorphisms of projective surfaces.