Voting models and tightness for a family of recursion equations

Xaver Kriechbaum, Lenya Ryzhik, Ofer Zeitouni

We consider recursion equations of the form $u_{n+1}(x)=Q[u_n](x),n\ge 1,x\in R$, with a non-local operator $Q[u](x)=g(u\ast q)$, where $g$ is a polynomial, satisfying $g(0)=0$…