Tien-Cuong Dinh

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20002025

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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.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

Tien-Cuong Dinh

Let f be a polynomial endomorphism of degree d>1 of C^k (k>1) which extends to a holomorphic endomorphism of P^k. Assume that the maximal order Julia set of f is laminated by real…