Ergodicity of PCA : equivalence between spatial and temporal mixing conditions
For a general attractive Probabilistic Cellular Automata on S-Zd, we prove that the (time-) convergence towards equilibrium of this Markovian parallel dynamics, exponentially fast in the uniform norm, is equivalent to a condition (A). This condition means the exponential decay of the influence from...
| Main Author: | |
|---|---|
| Format: | Others |
| Language: | English |
| Published: |
Universität Potsdam
2004
|
| Subjects: | |
| Online Access: | http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-6589 http://opus.kobv.de/ubp/volltexte/2006/658/ |