Abstract
Triviality of the two-sided tail field of a stationary process is not an invariant property under factorization ([4]). In this paper we give an example of a bilaterally deterministic process with finitely many states which is strongly mixing. This extends and complements a result of Bradley ([1]).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 115-133 |
| Number of pages | 19 |
| Journal | Israel Journal of Mathematics |
| Volume | 95 |
| DOIs | |
| State | Published - Jan 1 1996 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Finite state bilaterally deterministic strongly mixing processes. / Burton, Robert M.; Denker, Manfred Heinz; Smorodinsky, Meir.
In: Israel Journal of Mathematics, Vol. 95, 01.01.1996, p. 115-133.Research output: Contribution to journal › Article
TY - JOUR
T1 - Finite state bilaterally deterministic strongly mixing processes
AU - Burton, Robert M.
AU - Denker, Manfred Heinz
AU - Smorodinsky, Meir
PY - 1996/1/1
Y1 - 1996/1/1
N2 - Triviality of the two-sided tail field of a stationary process is not an invariant property under factorization ([4]). In this paper we give an example of a bilaterally deterministic process with finitely many states which is strongly mixing. This extends and complements a result of Bradley ([1]).
AB - Triviality of the two-sided tail field of a stationary process is not an invariant property under factorization ([4]). In this paper we give an example of a bilaterally deterministic process with finitely many states which is strongly mixing. This extends and complements a result of Bradley ([1]).
UR - http://www.scopus.com/inward/record.url?scp=0030475021&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030475021&partnerID=8YFLogxK
U2 - 10.1007/BF02761036
DO - 10.1007/BF02761036
M3 - Article
AN - SCOPUS:0030475021
VL - 95
SP - 115
EP - 133
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
SN - 0021-2172
ER -