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math.DS2026
On the DML(1) property for regular endomorphisms of affine spaces: multiplicities of points at infinity
She Yang, Aoyang Zheng
Let be a regular endomorphism of of algebraic degree and let be the induced endomorphism of the infinity hyperplane . S…
math.DS2026
Very sparse return sets in arithmetic dynamics
She Yang
When studying the dynamical Mordell-Lang conjecture by using the -adic method, experts have found that return sets of the -adic version of the DML problem can be very sparse.…
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 .