Publications

Preprints

• A. Trofimova, L. Xu, Scaling properties of current fluctuations in periodic TASEP (2025)     arXiv

• H. Da Cunha, L. Xu, Coupling hydrodynamics of several Facilitated Exclusion Processes with closed boundaries (2025)     arXiv

• P. Gonçalves, J. Kern, L. Xu, A novel approach to hydrodynamics for long-range generalized exclusion (2024)     arXiv

Journal papers

• P. van Meurs, K. Tsunoda, L. Xu, Incompressible limit for weakly asymmetric simple exclusion processes coupled through collision, Electron. J. Probab. 29, 162 (2024)     DOI     MathSciNet     arXiv

• L. Xu, Hydrodynamic limit for asymmetric simple exclusion with accelerated boundaries, Ann. Inst. Henri Poincaré Probab. Stat.  60(3), 1543 - 1569 (2024)     DOI     MathSciNet     arXiv

• L. Xu, L. Zhao, Hydrodynamics for asymmetric simple exclusion on a finite segment with Glauber-type source, J. Stat. Phys.  191, 78 (2024)     DOI     MathSciNet     arXiv

• L. Xu, Scalar conservation law in a bounded domain with strong source at boundary, NoDEA Nolinear Diff. Equ. Appl.  31, 66 (2024)     DOI     MathSciNet     arXiv

• L. Xu, L. Zhao, Equilibrium perturbations for stochastic interacting systems, Electron. J. Probab.  28, 6 (2023)     DOI     MathSciNet     arXiv

• L. Xu, Hydrodynamics for one-dimensional ASEP in contact with a class of reservoirs, J. Stat. Phys.  189, 1 (2022)     DOI     MathSciNet     arXiv

• A. De Masi, S. Marchesani, S. Olla, L. Xu, Quasi-static limit for the asymmetric simple exclusion, Probab. Theory Relat. Fields  183, 1075 - 1117 (2022)     DOI     MathSciNet     arXiv

• S. Marchesani, S. Olla, L. Xu, Quasi-static limit for a hyperbolic conservation law, NoDEA Nolinear Diff. Equ. Appl.  28, 53 (2021)     DOI     MathSciNet     arXiv

• L. Xu, Hyperbolic scaling limit of non-equilibrium fluctuations for a weakly anharmonic chain, Electron. J. Probab.  25, 84 (2020)     DOI     MathSciNet     arXiv

• S. Olla, L. Xu, Equilibrium fluctuation for an anharmonic chain with boundary conditions in the Euler scaling limit, Nonlinearity  33(4), 1466 - 1498 (2020)     DOI     MathSciNet     arXiv

• L. Xu, A central limit theorem for stochastic heat equations in random environment, J. Theoret. Probab.  31(3), 1356 - 1379 (2018)     DOI     MathSciNet     arXiv

• L. Xu, An invariance principle for stochastic heat equations with periodic coefficients, Stoch. Anal. Appl.  36(2), 295 - 303 (2018)     DOI     MathSciNet     arXiv

• L. Xu, Central limit theorem for finite and infinite dimensional diffusions in ergodic environments, RIMS Kôkyûroku Bessatsu  B59, 57 - 68 (2016)     Link     MathSciNet

Thesis

• Ph.D. theses: Scaling limits in stochastic heat equation and stochastic chain model,  The University of Tokyo, March 2017 (supervisor: Professor Tadahisa Funaki)

Other publications

• L. Xu, An invariance principle for stochastic heat equations with periodic coefficients, RIMS Kôkyûroku  1952: Symposium on Probability Theory, 143 - 148 (2015)

• L. Xu, Asymptotic behaviors in stochastic heat equations with periodic coefficients, RIMS Kôkyûroku  1971: Mathematical Analysis of Viscous Incompressible Fluid, 144 - 149 (2015)

My Collaborators

• Hugo DA CUNHA (University Lyon 1)

• Anna DE MASI (University of L'Aquila)

• Patrícia GONÇALVES (IST Lisbon)

• Julian KERN (WIAS Berlin)

• Stefano MARCHESANI (Rome Sapienza)

• Patrick van MEURS (Kanazawa University)

• Stefano OLLA (Paris Dauphine and GSSI)

• Anastasiia TROFIMOVA (GSSI)

• Kenkichi TSUNODA (Kyushu University)

• Linjie ZHAO (HUST)