Singularity conjecture for quasi-stationary measures of simple exclusion
Let {ηt:t≥0}\{\eta_t:t\ge 0\}{ηt:t≥0} be the symmetric simple exclusion process on Zd\mathbb{Z}^dZd, with state space Ω:={0,1}Zd\Omega:=\{0,1\}^{\mathbb{Z}^d}Ω:={0,1}Zd, and let νρ\nu_\rhoνρ be the homogeneous Bernou…