In the second part we consider some classes of cellular automata called Deterministic Walks in Random Environments on Z1. At first we deal with the system with constant rigidity and Markovian distribution of scatterers on Z1. It is shown that these systems have essentially the same properties as DWRE on Z1 with constant rigidity and independently distributed scatterers. Lastly, we consider a system with non-constant rigidity (so called process of aging) and independent distribution of scatterers. Asymptotic laws for the dynamics of perturbations propagating in such environments with aging are obtained.e) if there exists m such that M = UTM0^ % A then p(A) = +00. The first part of the proposition says that the size of the hole is one of the factors that determines the escape rate. As we will see later, it is not necessarily the only one or even theanbsp;...

Title | : | Some Problems in the Theory of Open Dynamical Systems and Deterministic Walks in Random Environments |

Author | : | Alex Yurchenko |

Publisher | : | ProQuest - 2008 |

Continue