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

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# Preprints 2018

## 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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## 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 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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## Feedback Capacity of Stationary Gaussian Channels Further Examined

Liu, T. & Han, G.

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## Proper orthogonal decomposition method to nonlinear filtering problems in medium-high dimension

Wang, Z. & Zhang, Z. (with Luo, X. & Yau, S.S.-T.)

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## A Minimal Mechanosensing Model Predicts Keratocyte Evolution on Flexible Substrates

Zhang, Z. (with Rosakis, P., Hou, T.Y. & Ravichandran, G.)

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

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

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

Mok, N.

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

Cai, K. & Han, G.

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