Long-time behavior of SSEP with slow boundary

Linjie Zhao (1)

1 Paradyse - Systèmes de particules et systèmes dynamiques

We consider the symmetric simple exclusion process with slow boundary first introduced in [Baldasso et al., Journal of Statistical Physics, 167(5), 2017]. We prove a law of large number for the empirical measure of the process under a longer time scaling instead of the usual diffusive time scaling.

Mots clés: Exclusion process; slow boundary; empirical measure; law of large numbers

Domaines: Probabilités [math.PR]

Linjie Zhao. Long-time behavior of SSEP with slow boundary. Statistics and Probability Letters, In press, ⟨10.1016/j.spl.2022.109452⟩. ⟨hal-03510977⟩