Zang, W. (with Chen, G. & Jing, G.)

# Preprints 2011-2019

## Ax-Schanuel for Shimura Varieties

Mok, N. (with Pila, J. & Tsimerman, J.)

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## An efficient model reduction method for solving viscous G-equations in incompressible cellular flows

Zhang, Z. (with Gua, H. & Xinb, J.)

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## A multiscale finite element method for the Schrödinger equation with multiscale potentials

Zhang, Z. (with Chena, J. & Ma, D.)

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## A mesh-free method for interface problems using the deep learning approach

Wang, Z. & Zhang, Z

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## Solving high-dimensional nonlinear filtering problems using a tensor train decomposition method

Li, S., Wang, Z. & Zhang, Z. (with Yau, S.S.T.)

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## Asymptotic total geodesy of local holomorphic curves exiting a bounded symmetric domain and applications to a uniformization problem for algebraic subsets

Chan, S.-T. & Mok, N.

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## An efficient numerical method for uncertainty quantification in cardiology models

Zhang, Z. (with Gao, X. & Ying, W.)

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## Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients

Ma, D., Ching, W.-K. & Zhang, Z.

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## Sharp uniform in time error estimate on a stochastic structure-preserving Lagrangian method and computation of effective diffusivity in 3D chaotic flows

Zhang, Z. & Wang, Z. (with Xin, J.)

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## Densities, Matchings, and Fractional Edge-Colorings

Zang, W. (with Chen, X. & Zhao, Q.)

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## Nonlinear Feynman-Kac formulae for SPDEs with space-time noise

Song, J. (with Song, X. & Zhang, Q.)

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## An adaptive dynamically low-dimensional approximation method for multiscale stochastic diffusion equations

Zhang, Z. (with Chunga, E.T. & Puna, S.-M.)

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## Limit theorems for functionals of two independent Gaussian processes

Song, J. (with Xu, F. and Yu, Q.)

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## Counterexample to the Vector Generalization of Costa’s EPI, and Partial Resolution

Han, G. (with Courtade, T.A. & Wu, Y.)

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## Computing eigenvalues and eigenfunctions of Schrödinger equations using a model reduction approach

Zhang, Z. (with Li, S.)

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## Existence of density for the stochastic wave equation with space-time homogeneous Gaussian noise

Song, J. (with Balan, R.M. & Quer-Sardanyons, L.)

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## Two-Parameter Asymptotic Expansions for Elliptic Equations with Small Geometric Perturbation and High Contrast Ratio

Zhang, Z. (with Chen, J., Lin, L. & Zhou, X.)

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## Some Recent Results on Holomorphic Isometries of the Complex Unit Ball into Bounded Symmetric Domains and Related Problems

Mok, N.

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## Estimation of exciton diffusion lengths of organic semiconductors in random domains

Zhang, Z. (with Chen, J., Lin, L. & Zhou, X.)

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## An Optimization Approach to the Langberg-Médard Multiple Unicast Conjecture

Cai, K. & Han, G.

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## Computing effective diffusivity of chaotic and stochastic flows using structure preserving schemes

Zhang, Z. (with Wang, Z. & Xin, J.)

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## A model reduction method for multiscale elliptic PDEs with random coefficients using an optimization approach

Zhang, Z. & Ma, D. (with Hou, T.Y.)

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## Some results on optimal stopping problems for one-dimensional regular diffusions

Huang, D. & Song, J.

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## Cluster-based Generalized Multiscale Finite Element Method for elliptic PDEs with random coefficients

Zhang, Z. (with Chung, E.T., Efendiev, Y. & Leung, W.T.)

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## Statistics of Hecke Eigenvalues for *GL*(*n*)

Lau, Y.-K., Ng, M.H. (with Wang, Y.)

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## Asymptotic total geodesy of local holomorphic curves on a bounded symmetric domain in its Harish-Chandra realization exiting the boundary

Mok, N. (with Chan, S.-T.)

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## Absolute Values of *L*-Functions for *GL*(*N*, $Bbb R$) at the Point 1

Lau, Y.-K (with Wang, Y.)

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## Feedback Capacity of Stationary Gaussian Channels Further Examined

Liu, T. & Han, G.

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## Nonlinear Loewy Factorizable Algebraic Odes and Hayman’s Conjecture

Ng, T.W. (with Wu, C.F.)

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