A dynamical system $(X,T)$ is completely scrambled if all non-diagonal pairs $(x,y)/in X/times X$ are proximal (i.e. $/liminf_{n/to /infty} d(T^n(x),T^n(y))=0$) but not asymptotic (i.e. $/limsup_{n/to /infty} d(T^n(x),T^n(y))>0$).

In this talk we will survey recent progress on characterization of such systems and their additional dynamical properties.

海报