Stavskaya's Measure Is Weakly Gibbsian

J. Depoorter, C. Maes

2006, v.12, №4, 791-804

ABSTRACT

Stavskaya's model is a one-dimensional Boolean probabilistic cellular automaton very similar to the contact and directed percolation processes. There is always an absorbing measure but close to the deterministic limit the model also shows a non-trivial invariant measure. We show that the latter "Stavskaya's" measure is weakly Gibbsian with an exponentially decaying interaction potential.

Keywords: probabilistic cellular automata,Gibbs measure

COMMENTS

Please log in or register to leave a comment


There are no comments yet