Nonequilibrium fluctuations for the occupation time of the SSEP in d ≥ 2

2025/12/10 by Tiecheng Xu, Xu, Tiecheng, Linjie Zhao +1
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2512.09424

openalex publication_date 2025/12/10 · openalex created_date 2025/12/12 · openalex updated_date 2026/07/28

Abstract

We study the symmetric simple exclusion process in two or higher dimensions. We prove the invariance principles for the occupation time when the process starts from nonequilibrium measures. Our proof combines the martingale method and correlation estimates for the exclusion process.

Citations

• A scaling limit of the 2D parabolic Anderson model with exclusion interaction
• Nonequilibrium Joint Fluctuations for Current and Occupation Time in The Symmetric Exclusion Process
• Additive functionals of exclusion processes from non-equilibrium
• A scaling limit of the parabolic Anderson model with exclusion interaction
• Non-equilibrium Fluctuations of Interacting Particle Systems
• Occupation times of long-range exclusion and connections to KPZ class exponents
• Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder

Related

• Nonequilibrium Joint Fluctuations for Current and Occupation Time in The Symmetric Exclusion Process
• Non-equilibrium fluctuations for the SSEP with a slow bond
• Non-equilibrium and stationary fluctuations for the SSEP with slow\n boundary
• A quantitative central limit theorem for the simple symmetric exclusion process
• Stationary fluctuations for the facilitated exclusion process