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

[PDF]

# Preprints

## On the Exceptional Set of the Generalized Ramanujan Conjecture for

## A Large Sieve Inequality of Elliott-Montgomery-Vaughan Type for Maass Forms on *GL*(*n*; $\mathbb R$) with Application

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

[PDF]

## A multiscale multilevel Monte Carlo method for multiscale elliptic PDEs with random coefficients

Lyu, J. & Zhang, Z.

[PDF]

## Connecting exciton diffusion with surface roughness via deep learning

Lyu, L. & Zhang, Z (with Chen, J.)

[PDF]

## On proper holomorphic maps between bounded symmetric domains

Chan, S.T.

[PDF]

## Efficient multiscale methods for the semiclassical Schrödinger equation with time-dependent potentials

Li, S. & Zhang, Z. (with Chen, J.)

[PDF]

## A class of robust numerical methods for solving dynamical systems with multiple time scales

Zhang, Z. & Wang, Z. (with Hou, T.Y.)

[PDF]

## Ax-Schanuel Type Theorems on Functional Transcendence via Nevanlinna Theory

Huang, J. & Ng, T.W.

[PDF]

## Schur rigidity of Schubert varieties in rational homogeneous manifolds of Picard number one

Mok, N. (with Hong, J.)

[PDF]

## Hyberbolic Belyi maps and Shabat-Blaschke products

Ng, T.W. (with Chiu, K.C.T.)

[PDF]

## A data-driven approach for multiscale elliptic PDEs with random coeﬃcients based on intrinsic dimension reduction

Li, S. & Zhang, Z. (with Zhao, H.)

[PDF]

## A multiscale reduced basis method for Schrödinger equation with multiscale and random potentials

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

[PDF]

## Convergence of stochastic structure-preserving schemes for computing eﬀective diﬀusivity in random ﬂows

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

[PDF]

## Rigidity of certain admissible pairs of rational homogeneous spaces of Picard number 1 which are not of the subdiagram type

Mok, N.

[PDF]

## Proof of the Goldberg-Seymour Conjecture on Edge-Colorings of Multigraphs

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

[PDF]

## 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.

[PDF]

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

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

[PDF]

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

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

[PDF]

## 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.)

[PDF]

## Densities, Matchings, and Fractional Edge-Colorings

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

[PDF]

## Ax-Schanuel for Shimura Varieties

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

[PDF]

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

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

[PDF]

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

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

[PDF]

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

Wang, Z. & Zhang, Z.

[PDF]

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

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

[PDF]

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

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

[PDF]

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

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

[PDF]

## 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.)

[PDF]

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

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

[PDF]

## Feedback Capacity of Stationary Gaussian Channels Further Examined

Liu, T. & Han, G.

[PDF]