# Jianfeng Lu

### **Professor of Mathematics**

Associate Professor of Physics (Secondary)

Associate Professor of Chemistry (Secondary)

Associate Professor in Physics (Secondary)

Associate Professor of Physics (Secondary)

Associate Professor of Chemistry (Secondary)

Associate Professor in Physics (Secondary)

###### Links

### Overview

Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science and other related fields.

More specifically, his current research focuses include:

Electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis; rare events and sampling techniques.

### Selected Grants

Innovation of Numerical Methods for High-Dimensional Problems awarded by National Science Foundation (Principal Investigator). 2020 to 2023

FET: Small: Efficient Inference Tools for Quantum Systems: Algorithms, Applications, and Analysis awarded by National Science Foundation (Co-Principal Investigator). 2019 to 2022

HDR TRIPODS: Innovations in Data Science: Integrating Stochastic Modeling, Data Representation, and Algorithms awarded by National Science Foundation (Co-Principal Investigator). 2019 to 2022

Quantum Computing in Chemical and Material Sciences awarded by Department of Energy (Co-Principal Investigator). 2018 to 2021

Collaborative Research: SI2-SSI: ELSI-Infrastructure for Scalable Electronic Structure Theory awarded by National Science Foundation (Co-Principal Investigator). 2015 to 2021

CAREER: Research and training in advanced computational methods for quantum and statistical mechanics awarded by National Science Foundation (Principal Investigator). 2015 to 2020

Mathematical Problems for Electronic Structure Models awarded by National Science Foundation (Principal Investigator). 2013 to 2016

Li, W., et al. “Fisher information regularization schemes for Wasserstein gradient flows.” *Journal of Computational Physics*, vol. 416, Sept. 2020. *Scopus*, doi:10.1016/j.jcp.2020.109449.
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Ge, R., et al. “Estimating normalizing constants for log-concave distributions: Algorithms and lower bounds.” *Proceedings of the Annual Acm Symposium on Theory of Computing*, June 2020, pp. 579–86. *Scopus*, doi:10.1145/3357713.3384289.
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Li, Y., et al. “Variational training of neural network approximations of solution maps for physical models.” *Journal of Computational Physics*, vol. 409, May 2020. *Scopus*, doi:10.1016/j.jcp.2020.109338.
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Lu, J., et al. “Quadrature Points via Heat Kernel Repulsion.” *Constructive Approximation*, vol. 51, no. 1, Feb. 2020, pp. 27–48. *Scopus*, doi:10.1007/s00365-019-09471-4.
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Lu, J., and S. Steinerberger. “A dimension-free hermite-hadamard inequality via gradient estimates for the torsion function.” *Proceedings of the American Mathematical Society*, vol. 148, no. 2, Jan. 2020, pp. 673–79. *Scopus*, doi:10.1090/proc/14843.
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Lu, J., et al. “Dirac operators and domain walls.” *Siam Journal on Mathematical Analysis*, vol. 52, no. 2, Jan. 2020, pp. 1115–45. *Scopus*, doi:10.1137/19M127416X.
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Cai, Z., et al. “Inchworm Monte Carlo Method for Open Quantum Systems.” *Communications on Pure and Applied Mathematics*, Jan. 2020. *Scopus*, doi:10.1002/cpa.21888.
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Lu, J., and Z. Wang. “The full configuration interaction quantum monte carlo method through the lens of inexact power iteration.” *Siam Journal on Scientific Computing*, vol. 42, no. 1, Jan. 2020, pp. B1–29. *Scopus*, doi:10.1137/18M1166626.
Full Text Open Access Copy

Lu, J., and S. Steinerberger. “Optimal Trapping for Brownian Motion: a Nonlinear Analogue of the Torsion Function.” *Potential Analysis*, Jan. 2020. *Scopus*, doi:10.1007/s11118-020-09845-5.
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Cheng, Cheng, et al. “Stable Phase Retrieval from Locally Stable and Conditionally Connected Measurements.” *Corr*, vol. abs/2006.11709, 2020.

## Pages

Yu, Victor, et al. “Large-scale benchmark of electronic structure solvers with the ELSI infrastructure.” *Abstracts of Papers of the American Chemical Society*, vol. 257, AMER CHEMICAL SOC, 2019.

Yu, Victor, et al. “ELSI: A unified software interface for Kohn-Sham electronic structure solvers.” *Abstracts of Papers of the American Chemical Society*, vol. 255, AMER CHEMICAL SOC, 2018.

Xian, Yin, et al. “CLASSIFICATION OF WHALE VOCALIZATIONS USING THE WEYL TRANSFORM.” *2015 Ieee International Conference on Acoustics, Speech, and Signal Processing (Icassp)*, 2015, pp. 773–77.