Hi, I have the following hw question: Let Xt be the continuous-time simple random walk on a circle as in Example 2, Section 7.2. Show that there exists a c,β > 0, independent of N such that for all initial probability distributions ν and all t > 0 [tex]∥νe^tA−π∥_TV ≤ ce^(−βt/N2)[/tex] Here's what I'm thinking so far: We proved the following in class: [tex]∥νe^tA−π∥_TV ≤ 1/2 ||e^(tA) v/π −1||_π[/tex] I know I can apply this to the function above in the form: [tex]∥νe^(tA) −π∥TV ≤1/2e^λ2t ||v/π||_π[/tex] But I'm now stuck. Any help would be greatly appreciated! P.s. Sorry for the poor formatting--new at Latex.