Junyi Xie
- Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics
2022/05/26 by Zhuchao Ji, Junyi Xie, Ji, Zhuchao +1 · 4 citations
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Advanced Differential Equations and Dynamical Systems
- The multiplier spectrum morphism is generically injective
2023/09/27 by Zhuchao Ji, Ji, Zhuchao, Junyi Xie +1 · 3 citations
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
- DAO for curves
2023/02/06 by Zhuchao Ji, Junyi Xie, Ji, Zhuchao +1 · 3 citations
Mathematics · Physics and Astronomy · #37P05 #37P30 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT) #Quantum chaos and dynamical systems
- Partial Heights, Entire Curves, and the Geometric Bombieri-Lang Conjecture
2023/05/24 by Junyi Xie, Xinyi Yuan, Xie, Junyi +1 · 2 citations
Mathematics · #11G35 #14G05 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)
- Algebraic dynamics of skew-linear self-maps
2018/03/11 by Dragos Ghioca, Junyi Xie, Ghioca, Dragos +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
- Arithmetic degree and its application to Zariski dense orbit conjecture
2024/09/10 by Yohsuke Matsuzawa, Junyi Xie, Matsuzawa, Yohsuke +1 · 2 citations
Mathematics · #37P15 #37P55 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)
- Algebraic dynamics and recursive inequalities
2024/02/20 by Junyi Xie, Xie, Junyi · 3 citations
Computer Science · #Advanced Algebra and Logic #Algebraic Geometry (math.AG) #Dynamical Systems (math.DS) #FOS: Mathematics #Polynomial and algebraic computation
- Surjective endomorphisms of projective surfaces: the existence of infinitely many dense orbits
2023/01/09 by Jia Jia, Junyi Xie, De‐Qi Zhang +1 · 1 citation
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals
- Genus and Gonality of Small Curves, Dynamical Uniform Boundedness, and Bifurcation
2026/07/14 by Zhuchao Ji, Junyi Xie
#math.DS #math.AG #math.NT