The cutoff phenomenon for Ehrenfest chains (Q436294)

From the authors' abstract: We consider families of Ehrenfest chains and provide a simply criterion on the \(L^{p}\)-cutoff and the \(L^{p}\)-precutoff with specified initial states for \(1\leq p<\infty\). For the family with an \( L^{p}\)-cutoff, a cutoff time is described and a possible window is given. For the family without an \(L^{p}\)-cutoff, the exact order of the \(L^{p}\) -mixing time is determined.