TY - JOUR
T1 - On the entropy of linear factors
AU - Weiss, Benjamin
PY - 2008/4
Y1 - 2008/4
N2 - In general, the entropy h(\mathcal {Y}) of a stationary process Y, which is a factor of the process {X}, can take any value in the interval (0, h( \mathcal {X} ) ]. For linear factors the situation is completely different. In fact it even matters how the class of linear factors is defined. We will investigate both moving averages of bounded sequences by coefficients in l1 and the natural notion in L2.
AB - In general, the entropy h(\mathcal {Y}) of a stationary process Y, which is a factor of the process {X}, can take any value in the interval (0, h( \mathcal {X} ) ]. For linear factors the situation is completely different. In fact it even matters how the class of linear factors is defined. We will investigate both moving averages of bounded sequences by coefficients in l1 and the natural notion in L2.
UR - http://www.scopus.com/inward/record.url?scp=43449123661&partnerID=8YFLogxK
U2 - 10.1017/S0143385707000387
DO - 10.1017/S0143385707000387
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AN - SCOPUS:43449123661
SN - 0143-3857
VL - 28
SP - 697
EP - 705
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 2
ER -