Chai, S. & Zhang, Z. (with Zhang, Z.)

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# Preprints

## Average Bound Toward the Generalized Ramanujan Conjecture and Its Applications on Sato-Tate Laws for *GL*(*n*)

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

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## Deterministic Algorithm for the Capacity of Finite-State Channels

Wu, C. & Han, G. (with Anantharam, V. & Marcus, B.)

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## On Sampling Continuous-Time AWGN Channels

Han, G. (with Shamai, S.)

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## The Squeezing Function on Doubly-Connected Domains via the Loewner Differential Equation

Ng, T.W. & Tang, C.C. (with Tsai, J.)

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## Hypertranscendency of Perturbations of Hypertranscendental Functions

Huang, J. & Ng, T.-W.

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## On the Exceptional Set of the Generalized Ramanujan Conjecture for *GL*(3)

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

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## 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.)

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

Lyu, J. & Zhang, Z.

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## Connecting exciton diffusion with surface roughness via deep learning

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

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## On proper holomorphic maps between bounded symmetric domains

Chan, S.T.

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

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

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

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

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

Huang, J. & Ng, T.W.

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

Mok, N. (with Hong, J.)

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## Hyberbolic Belyi maps and Shabat-Blaschke products

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

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

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

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

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

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

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

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

Mok, N.

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

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

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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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## 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

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

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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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