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My research focuses on the mathematical and computational aspects of statistical mechanics, with applications to complex dynamical systems arising in molecular dynamics, materials science, atmosphere-ocean science, fluids dynamics, and neural networks. More recently I have become interested in the mathematical foundations of machine learning (ML) and started to explore the exciting new prospects ML offer for scientific computing. My work combines tools from probability theory, mathematical physics, numerical analysis, and optimization to uncover governing principles in complex systems and design efficient algorithms for their simulation.
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论文共 283 篇作者统计合作学者相似作者
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Physica D: Nonlinear Phenomena (2024): 134129
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICSno. 4 (2024): 2268-2330
JOURNAL OF CHEMICAL PHYSICSno. 3 (2024)
JOURNAL OF COMPUTATIONAL PHYSICS (2024): 112588-112588
arXiv (Cornell University) (2023)
Björn Engquist, Panagiotis E. Souganidis, Samuel N. Stechmann, Vlad Vicol, S. Osher, Peter Constantin, Victor Roytburd, Robert Pego, Pierre-Louis Lions, Charles Fefferman, David McLaughlin, Russel E. Caflisch,
Notices of the American Mathematical Societyno. 10 (2023): 1-1
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