2 papers
math.DS2011
Infinite-step nilsystems, independence and complexity
P. D. Dong, S. Donoso, A. Maass +2
An -step nilsystem is an inverse limit of minimal nilsystems. In this article is shown that a minimal distal system is an -step nilsystem if and only if it has no n…
math.DS2009
Sufficient conditions under which a transitive system is chaotic
E. Akin, E. Glasner, W. Huang +2
Let (X,T) be a topologically transitive dynamical system. We show that if there is a subsystem (Y,T) of (X,T) such that (X\times Y, T\times T) is transitive, then (X,T) is strongly…