Tien-Cuong Dinh

activity

20002026

collaborators

8 papers

math.DS2026

Quantitative Dynamics of complex Hénon maps

Henry de Thélin, Tien-Cuong Dinh, Lucas Kaufmann

Let $f$ be a Hénon map of $C^{2}$ . We provide quantitative versions of several results involving dynamical objects associated to $f$ . Our results can be interpreted as a quan…

math.NT2025

Lower Bounds for Galois Orbits of periodic points for polarized endomorphisms

Jit Wu Yap, Tien-Cuong Dinh

Let $K$ be a number field, $X$ a smooth projective variety over $K$ and $f : X \to X$ a polarized endomorphism of degree $d \geq 2$ . We prove an exponential lower bound on $[K(\Per_…

math.AG2025

Continuity of the superpotentials and slices of tropical currents

Farhad Babaee, Tien Cuong Dinh

We study the question of the continuity of slices of currents and explain how it relates to several seemingly unrelated problems in tropical geometry. On the one hand, through this…

math.DS2024

Exponential equidistribution of periodic points for endomorphisms of $P^{k}$

Henry de Thélin, Tien-Cuong Dinh, Lucas Kaufmann

Let $f$ be a holomorphic endomorphism of $P^{k}$ of algebraic degree $d \geq 2$ . We show that the periodic points of $f$ of period $n$ equidistribute towards the equilibrium m…

math.CV2024

Hole event for random holomorphic sections on compact Riemann surfaces

Tien-Cuong Dinh, Subhroshekhar Ghosh, Hao Wu

Let $X$ be a compact Riemann surface and $L$ be a positive line bundle on it. We study the conditional zero expectation of all the holomorphic sections of $L^{n}$ w…

math.DS2023

Periodic points for meromorphic self-maps of Fujiki varieties

Tien-Cuong Dinh, Guolei Zhong

Let $f : X \to X$ be a dominant meromorphic self-map of a compact complex variety $X$ in the Fujiki class $C$ . If the topological degree of $f$ is strictly larger than…

math.CV2002

Polynomial hulls and positive currents

T. C. Dinh

Let T be a positive plurisubharmonic current of bidimension (p,p) and let $δ > 0$ . Assume that the Lelong number of T satisfies $ν (T, a) \geq δ$ on a dense subset of supp(T) (rectifiab…

math.CV2000

On the Lattes maps of P^k