Prevalence of Odometers in Cellular Automata
  We consider a left permutive cellular automaton Phi, with no memory and positive anticipation, defined on the space of all doubly infinite sequences with entries from a finite alphabet. For each such automaton that is not one-to-one, there is a dense set of points X (which is large in another sense too) such that the Phi-orbit closure of each x in X is topologically conjugate to an odometer (the ``+1'' map on a projective limit of finite cyclic groups). We identify this odometer in several cases. 
Ethan M. Coven (1), Marcus Pivato (2), and Reem Yassawi (2). ((1)   Department of Mathematics, Wesleyan University, Middleto...