Figure 3.

A conceptual visualization of the arrow of time. The horizontal axis represents the time coordinate, while the vertical axis represents entropy. If the state distribution of a multibaker map is absolutely continuous at some initialization time (the small cross), then some duration around it (the wavy central region) may behave ambiguously, but eventually the arrow of time points consistently away to $\pm \infty$. The dynamics of the left region are dual to those of the right region.