activity
20082026
collaborators

11 papers

math.CV2026

Holomorphic Maps from into Semi-Abelian Varieties

Zhe Wang

We prove the Second Main Theorem with truncation level one for holomorphic maps with Zariski-dense image intersecting a reduced effective Cartier divisor: Let be a semi-abelian…

math.CV2025

Meromorphic maps from into semi-abelian varieties and general projective varieties

Zhe Wang

In 1974, W. Stoll proposed a method of studying holomorphic functions of several complex variables by reducing them to one variable through fiber integration. In this paper, we use…

math.DS2025

Wasserstein convergence rates in the invariance principle for nonuniformly hyperbolic flows

Ian Melbourne, Zhe Wang

We obtain -Wasserstein convergence rates in the invariance principle for nonuniformly hyperbolic flows, where depends on the degree of nonuniformity. Utilizing a marting…

math.DS2025

Quenched invariance principle with a rate for random dynamical systems

Zhenxin Liu, Benoit Saussol, Sandro Vaienti +1

In this paper, we consider the quenched invariance principle for random Young towers driven by an ergodic system. In particular, we obtain the Wassertein convergence rate in the qu…

math-ph2024

Structure of Dubrovin-Zhang free energy functions and universal identities

Sergey Shadrin, Zhe Wang

We prove a structural theorem relating the higher genera free energy functions of the Dubrovin-Zhang hierarchies to the Witten-Kontsevich free energy function of the Korteweg-de Vr…

math.CV2024

On the derivatives of the Liouville currents

Xinlong Dong, Dragomir Šarić, Zhe Wang

The Liouville map, introduced by Bonahon, assigns to each point in the Teichmüller space a natural Radon measure on the space of geodesics of the base surface. The Liouville map is…

math.DS2023

Wasserstein convergence rates in the invariance principle for sequential dynamical systems

Zhenxin Liu, Zhe Wang

In this paper, we consider the convergence rate with respect to the Wasserstein distance in the invariance principle for sequential dynamical systems. We utilize and modify the tec…

math.DS2022

Wasserstein convergence rates in the invariance principle for deterministic dynamical systems

Zhenxin Liu, Zhe Wang

In this paper, we consider the convergence rate with respect to Wasserstein distance in the invariance principle for deterministic nonuniformly hyperbolic systems, where both discr…

math.DS2021

Symmetric Rigidity for Circle Endomorphisms with Bounded Geometry

John Adamski, Yunchun Hu, Yunping Jiang +1

Let and be two circle endomorphisms of degree such that each has bounded geometry, preserves the Lebesgue measure, and fixes . Let fixing be the topolo…

math.CV2013

Guiding Isotopies and Holomorphic Motions

Frederick. P. Gardiner, Yunping Jiang

We develop an isotopy principle for holomorphic motions. Our main result concerns the extendability of a holomorphic motion of a finite subset of a Riemann surface paramete…

math.CV2008

Holomorphic Motions and Related Topics

Frederick Gardiner, Yunping Jiang, Zhe Wang

In this article we give an expository account of the holomorphic motion theorem based on work of Màñé-Sad-Sullivan, Bers-Royden, and Chirka. After proving this theorem, we show tha…