4 papers
Quantitative hyperbolicity for complex manifolds via numerical invariants
Tien-Cuong Dinh, Duc-Bao Nguyen, Duc-Viet Vu
We introduce numerical invariants called hyperbolic indices, which measure the hyperbolicity of compact Kähler manifolds using directed positive closed currents. We prove that if…
Siu's analyticity theorem for positive pluriharmonic currents
Tien-Cuong Dinh, Viet-Anh Nguyen
Let be a positive $\ddc$-closed current of bidimension on a projective manifold of dimension We show that for every the set of points of where the…
Gaussian fluctuations for spin systems and point processes: near-optimal rates via quantitative Marcinkiewicz's theorem
Tien-Cuong Dinh, Subhroshekhar Ghosh, Hoang-Son Tran +1
We establish asymptotically Gaussian fluctuations for functionals of a large class of spin models and strongly correlated random point fields, achieving near-optimal rates. For spi…
On the virtual invariants of zero entropy groups of compact Kähler manifolds
Tien-Cuong Dinh, Hsueh-Yung Lin, Keiji Oguiso +1
Let be a compact Kähler manifold. We study subgroups of biholomorphic automorphisms of zero entropy when is compact (e.g. when $\ma…