On the entropy of linear factors

Benjamin Weiss*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)697-705
Number of pages9
JournalErgodic Theory and Dynamical Systems
Volume28
Issue number2
DOIs
StatePublished - Apr 2008

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