7 papers · 1 filter
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…
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.…
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 .
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…
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.
Height arguments toward the dynamical Mordell-Lang problem in arbitrary characteristic
Junyi Xie, She Yang
We use height arguments to prove two results about the dynamical Mordell-Lang problem. (i) For an endomorphism of a projective variety, the return set of a dense orbit into a curve…
On the dynamical Mordell-Lang conjecture in positive characteristic
Junyi Xie, She Yang
We solve the dynamical Mordell-Lang conjecture for bounded-degree dynamical systems in positive characteristic. The answer in this case disproves the original version of the pDML c…