Publications and Preprints

• Entropic optimal transport with congestion aversion (2025) - joint with Z. Ren, X. Wang, Y. Zhang [preprint]
• Ergodicity of the underdamped mean-field Langevin dynamics. Ann. Appl. Probab. 34(3): 3181-3226 (2024) - joint with Z. Ren, X. Tan, J. Yang [preprint]
• Game on Random Environment, Mean-field Langevin System and Neural Networks. Mathematics of Operations Research 48(1):78-99 (2023) - joint with G. Conforti, Z. Ren [preprint]
• Anisotropic compressed sensing for non-Cartesian MRI acquisitions (2019) - joint with Ph. Ciuciu [preprint]
• Mean-field Langevin System, Optimal Control and Deep Neural Networks (2019) - joint with K. Hu, Z. Ren [preprint]
• Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. II. J. Diff. Eqns. 264(7), 4822-4888 (2018) - joint with C. Muñoz [preprint]
• Numerical study of blow-up and stability of line solitons for the Novikov-Veselov equation. Nonlinearity 30(7) (2016) - joint with C. Klein [preprint]
• Dispersive estimates for rational symbols and local well-posedness of the nonzero energy NV equation. Journal of Funct. Anal., 270(5), 1744-1791 (2016) - joint with C. Muñoz [printed version], [preprint]
• Absence of solitons with sufficient algebraic localization for the Novikov-Veselov equation at nonzero energy. Funct. Anal. Appl., 48(1), 24-35 (2014) [printed version], [preprint]
• Absence of conductivity-type solitons for the Novikov-Veselov equation at zero energy. Funct. Anal. Appl., 47(1), 64-66 (2013) [printed version], [preprint]
• A large time asymptotics for the solution of the Cauchy problem for the Novikov-Veselov equation at negative energy with nonsingular scattering data. Inverse Problems, 28(5), 055017 (2012) [printed version], [preprint]
• Absence of exponentially localized solitons for the Novikov-Veselov equation at negative energy. Nonlinearity. 24, 1821-1830 (2011) - joint with R.G. Novikov [printed version], [preprint]
• Large time asymptotics for the Grinevich-Zakharov potentials. Bulletin des Sciences Mathematiques. 135, 374-382 (2011) - joint with R.G. Novikov [printed version], [preprint]
• A large time asymptotics for transparent potentials for the Novikov-Veselov equation at positive energy. J. Nonlinear Math. Phys. 18(3), 377-400 (2011) - joint with R.G. Novikov [pdf]
• Examples of the absence of a traveling wave for the generalized Korteweg-de Vries-Burgers equation. Moscow University Computational Mathematics and Cybernetics. 35(1), 14-21 (2011) [printed version]
• Stability of a traveling-wave solution of the Cauchy problem for the Korteweg-de Vries-Burgers equation. Comput. Math. Math. Phys. 50(4), 690-710 (2010) [printed version]
• Optimal strategies for reviewing search results. In proceedings of AAAI 2010. 1321-1326 (2010) - joint with J. Huang [pdf]
• Approximation algorithms for diversified search ranking. In proceedings of ICALP 2010. 273-284 (2010) - joint with N. Bansal , K. Jain , J. Naor [pdf]