Spectral gap for zero-range dynamics (Q674506)

The authors study symmetric zero-range processes. More precisely, they consider the finite coordinate processes confined to cube of size \(n^d\), and prove uniform \({\mathcal O}(n^2)\) estimates for the spectral gap of these processes, under some conditions on the rate function. The authors follow the method outlined by Lu and Yau where a similar spectral gap is proved for Kawasaki dynamics.