Non-expansive directions for $Z^2$-actions

Details Non-expansive directions for $Z^2$-actions Non-expansive directions for $Z^2$-actions

2009-06-02

arxiv.org/abs/0906.0609v1

Mathematics

Dynamical Systems

24 pages

Scientific paper

We show that any direction in the plane occurs as the unique non-expansive direction of a \mathbb{Z}^{2} action, answering a question of Boyle and Lind. In the case of rational directions, the subaction obtained is non-trivial. We also establish that a cellular automaton can have zero Lyapunov exponents and at the same time act sensitively; and more generally, for any positive real \theta there is a cellular automaton acting on an appropriate subshift with \lambda^{+}=-\lambda^{-}=\theta.

Affiliated with

Also associated with

No associations

Rating

Non-expansive directions for $Z^2$-actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-expansive directions for $Z^2$-actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-expansive directions for $Z^2$-actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-193387