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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 $ρ\in(0,1)$, we first prove that, with high probability, the particle-number sector selected by the initial config
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