Asymptotics of ODE's flows everywhere or almost-everywhere in the torus:from rotation sets to homogenization of transport equations

Marc Briane, Loïc Hervé

In this paper, we study various aspects of the ODE's flow $X$ solution to the equation ${\partial }_{t}X(t,x)=b(X(t,x))$, $X(0,x)=x$ in the $d$-dimensional torus $Y_d$, where $b$ is a…