DOAJ
Open Access
2011
Orbits of the Bernoulli measure in single-transition asynchronous cellular automata
Henryk Fukś
Andrew Skelton
Abstrak
We study iterations of the Bernoulli measure under nearest-neighbour asynchronous binary cellular automata (CA) with a single transition. For these CA, we show that a coarse-level description of the orbit of the Bernoulli measure can be obtained, that is, one can explicitly compute measures of short cylinder sets after arbitrary number of iterations of the CA. In particular, we give expressions for probabilities of ones for all three minimal single-transition rules, as well as expressions for probabilities of blocks of length 3 for some of them. These expressions can be interpreted as "response curves'', that is, curves describing the dependence of the final density of ones on the initial density of ones.
Topik & Kata Kunci
Penulis (2)
H
Henryk Fukś
A
Andrew Skelton
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2011
- Sumber Database
- DOAJ
- DOI
- 10.46298/dmtcs.2972
- Akses
- Open Access ✓