Ge Zhang

most citedSpace spanned by characteristic exponents

1 citations · 1 across the 3 of their papers we have counts for

collaborators

5 papers

math.DS2026

Rank-two recurrence results for polynomials and questions of dynamical Mordell--Lang type

Geng-Rui Zhang

Let $f, g \in C [z] ∖ C$ and $c \in C [z]$ . Suppose that $deg (c) = 1$ if $deg (f) = deg (g) = 1$ . Using the theory of Presburger arithm…

math.DS2026★ 1 cited

Space spanned by characteristic exponents

Zhuchao Ji, Junyi Xie, Geng-Rui Zhang

We prove several rigidity results on multiplier spectrum and length spectrum. For example, we show that for every non-exceptional rational map $f:\mathbb{P}^1(\mathbb{C})\to\mathbb…

math.DS2026

Rigidity of Lyapunov exponents for polynomials

Zhuchao Ji, Junyi Xie, Geng-Rui Zhang

Let $f, g \in Q [z]$ be polynomials of degree $d \geq 2$ with disconnected Julia sets. We prove that they have the same Lyapunov exponent $\mathcal{L}_f=\mathcal{L}_g…

math.DS2026

On the multiplier spectrum of polynomials

Geng-Rui Zhang

We prove several results on the multiplier spectrum of polynomials. We provide a detailed proof of the theorem stating that the multiplier spectrum morphism is generically injectiv…

math.DS2026

Cyclotomic integral points for affine dynamics

Zhuchao Ji, Junyi Xie, Geng-Rui Zhang

Let $f : A^{N} \to A^{N}$ be a regular endomorphism of algebraic degree $d \geq 2$ (i.e., $f$ extends to an endomorphism on $P^{N}$ of algebraic degree $d$ ) defined…