Remark on the (Non)convergence of Ensemble Densities in Dynamical Systems

S. Goldstein, J. L. Lebowitz, Y. Sinai

We consider a dynamical system with state space $M$, a smooth, compact subset of some ${\mathbb{R}}^n$, and evolution given by $T_t$, $x_t=T_{t}x$, $x\in M$; $T_t$ is invertible and…