Seonwoo Kim

Facilitated Exclusion Process in Higher Dimensions: Recurrent Structure and Transient Dynamics

In this article, we study the facilitated exclusion process (FEP) on the $d$-dimensional discrete torus of side length $N$, with $d\ge2$. For Bernoulli initial data with a fixed density $\rho\in(0,1)$, we first prove that, with high probability, the particle-number sector selected by the initial configuration has a uni...