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math.DS2024
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…
math.DS2024
Algebraic dynamics and recursive inequalities
Junyi Xie
We get three basic results in algebraic dynamics: (1). We give the first algorithm to compute the dynamical degrees to arbitrary precision. (2). We prove that for a family of domin…