Condensation of the invariant measures of the supercritical zero range processes

Tiecheng Xu

For $\alpha \ge 1$, let $g:\mathbb{N}\to {\mathbb{R}}_{+}$ be given by $g(0)=0$, $g(1)=1$, $g(k)=(k/k-1{)}^{\alpha }$, $k\ge 2$. Consider the symmetric nearest neighbour zero range process on the discr…