Chapter 6: Starting from Randomness

Section 2: Four Classes of Behavior

Different runs [of initially random cellular automata]

The qualitative behavior seen with a given cellular automaton rule will normally look exactly the same for essentially all different large random initial conditions—just as it does for different parts of a single initial condition. And as discussed on page 597 any obvious differences could in effect be thought of as revealing deviations from randomness in the initial conditions.

From Stephen Wolfram: A New Kind of Science [citation]