Junyi Xie

collaborators

Showing math.DSShow all

2 papers · 1 filter

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.DS2025

Numerical action for endomorphisms

Junyi Xie

Let $f : X \to X$ be a surjective endomorphism of a projective variety of dimension $d$ . The aim of this paper is to study the action of $f$ on the numerical group of divisors. For e…