Geodesic
Coding Ergodic Processes to Approximate Bernoulli Processes
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 135-140

Voir la notice de l'article provenant de la source Cambridge University Press

In [1] Ornstein defined a metric on processes which, for processes (P, τ) and (Q, σ) with equal numbers of atoms, measures how closely the motions of P and Q under r and a, respectively, imitate each other. If we think of (P, τ) and (Q, σ) as stationary stochastic processes, and we assume (P, τ) and (Q, σ) are ergodic, then ((P, τ)(Q, σ)) < α says that with probability one a printout from (P, r) can be changed on a set of integers with density less than a to obtain a printout from (Q, σ). 
Junco, A. Del. Coding Ergodic Processes to Approximate Bernoulli Processes. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 135-140. doi: 10.4153/CJM-1976-016-2
@article{10_4153_CJM_1976_016_2,
     author = {Junco, A. Del},
     title = {Coding {Ergodic} {Processes} to {Approximate} {Bernoulli} {Processes}},
     journal = {Canadian journal of mathematics},
     pages = {135--140},
     year = {1976},
     volume = {28},
     number = {1},
     doi = {10.4153/CJM-1976-016-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-016-2/}
}
TY  - JOUR
AU  - Junco, A. Del
TI  - Coding Ergodic Processes to Approximate Bernoulli Processes
JO  - Canadian journal of mathematics
PY  - 1976
SP  - 135
EP  - 140
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-016-2/
DO  - 10.4153/CJM-1976-016-2
ID  - 10_4153_CJM_1976_016_2
ER  - 
%0 Journal Article
%A Junco, A. Del
%T Coding Ergodic Processes to Approximate Bernoulli Processes
%J Canadian journal of mathematics
%D 1976
%P 135-140
%V 28
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-016-2/
%R 10.4153/CJM-1976-016-2
%F 10_4153_CJM_1976_016_2

[1] 1. Ornstein, D. S., An application of ergodic theory to probability theory, Ann. Probability 1, (1973), 43–65. Google Scholar

[2] 2. Ornstein, D. S., Bernoulli shifts with the same entropy are isomorphic, Advances in Math. 4 (1970), 337–352. Google Scholar

[3] 3. Ornstein, D. S., Factors of Bernoulli shifts are Bernoulli shifts, Advances in Math. 5 (1970), 349–364. Google Scholar

[4] 4. Shields, P. C., The theory of Bernoulli shifts (The University of Chicago Press, 1973). Google Scholar

[5] 5. Smorodinsky, M., Ergodic theory, entropy, Springer Lecture Notes in Mathematics, No. 214 (1971). Google Scholar

Cité par Sources :