Liang-Chung Hsia

activity

20032025

most citedPreperiodic points for families of rational map

41 citations · 51 across the 12 of their papers we have counts for

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4 papers · 1 filter

math.DS2025

Zeta function and entropy for non-archimedean subhyperbolic dynamics

Liang-Chung Hsia, Hongming Nie, Chenxi Wu

Let $K$ be a complete non-archimedean field of characteristic $0$ equipped with a discrete valuation. We establish the rationality of the Artin-Mazur zeta function on the Julia set…

math.DS2016

Simultaneously preperiodic points for families of polynomials in normal form

Dragos Ghioca, Liang-Chung Hsia, Khoa Dang Nguyen

Let $d > m > 1$ be integers, let $c_{1}, \dots, c_{m + 1}$ be distinct complex numbers, and let $f (z) := z^{d} + t_{1} z^{m - 1} + t_{2} z^{m - 2} + \dots + t_{m - 1} z + t_{m}$ be an $m$ -parameter family o…

math.DS2015

Unlikely Intersection For Two-Parameter Families of Polynomials

Dragos Ghioca, Liang-Chung Hsia, Thomas J. Tucker

Let $c_{1}, c_{2}, c_{3}$ be distinct complex numbers, and let $d \geq 3$ be an integer. We show that the set of all pairs $(a, b) \in C \times C$ such that each $c_{i}$ is pr…

math.DS2011

Preperiodic points for families of polynomials

Dragos Ghioca, Liang-Chung Hsia, Thomas Tucker

Let $a (λ)$ and $b (λ)$ be two polynomials with coefficients in complex numbers and let $f_{\lamb$ be a one-parameter family of polynomials indexed by all complex numbers $λ$ . We stu…