Preprints 2021

Multi-bubble Bourgain-Wang solutions to nonlinear Schrödinger equations

Project: A1, B1, B8

Published: Trans. Amer. Math. Soc. 377, no. 1 (2024), 517–588

Markov uniqueness and Fokker-Planck-Kolmogorov equations

Project: A5

Published: Festschrift Masatoshi Fukushima, Springer Proceedings in Mathematics and Statistics. In Honor of Masatoshi Fukushima's Beiju (2022)

Mixing properties and entropy bounds of a family of Pisot random substitutions

Project: A6

Published: Indagationes Mathematicae 33 (2022), 965–991

Spectral properties of substitutions on compact alphabets

Project: A6

Published: Bulletin of the London Mathematical Society 55 (2023), 2425–2445

Zaremba, Salem, and the fractal nature of ghost distributions

Project: A6

Published: Bulletin of the Australian Mathematical Society 107 (2023), 374–389

Spectral theory of spin substitutions

Project: A6

Published: Discrete and Continuous Dynamical Systems 42 (2022), 5399–5435

Well-posedness of the Dean-Kawasaki and the nonlinear Dawson-Watanabe equation with correlated noise

Project: B8

Published: Archive for Rational Mechanics and Analysis 248 (2024), Paper No. 20

Exponential Ergodicity for Singular Reflecting McKean-Vlasov SDEs

Project: A5

Published: Stochastic Processes and their Applications 160 (2023), 265–293

Distribution Dependent Reflecting Stochastic Differential Equations

Project: A5

Published: Science China Mathematics 66 (2023), 2411–2456

Stochastic generalized porous media equations over $\sigma$-finite measure spaces with non-continuous diffusivity function

Project: A5, B1

Published: Potential Analysis 61 (2024), 731–773

Skew-orthogonal polynomials in the complex plane and their Bergman-like kernels

Project: C6

Published: Communications in Mathematical Physics 389 (2022), 621–659

Scaling limits of planar symplectic ensembles

Project: C6

Published: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 18, no. 007 (2022)

Crouzeix-Raviart finite element method for non-autonomous variational problems with Lavrentiev gap

Project: A7, B7

Published: Numerische Mathematik 151 (2022), 779–805

Nonlinear filtering of partially observed systems arising in singular stochastic optimal control

Project: C4

Published: Applied Mathematics and Optimization 85 (2022), article number 12, 1–43

Stationary discounted and ergodic mean field games of singular control

Project: C4

Published: Mathematics of Operations Research 48, no. 4 (2023), 1871–1898

Wasserstein perturbations of Markovian transition semigroups

Project: C5, C7

Published: Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 59 (2023), 904–932

The invariance principle for nonlinear Fokker–Planck equations

Project: A5

Published: Journal of Differential Equations 315 (2022), 200–221

Local well-posedness of a system describing laser-plasma interactions

Project: A1

Published: Vietnam J. Math. 51 (2023), 759–770

Global-in-time probabilistically strong and Markov solutions to stochastic 3D Navier--Stokes equations: existence and non-uniqueness

Project: B1, B2, B7

Published: Ann. Probab. 51 (2023), 524–579

Invariant Gibbs measure for a Schrodinger equation with exponential nonlinearity

Project: A1

Published: Journal of Functional Analysis 287 (2024), Article number 110592