NDLI: Absolutely Continuous Invariant Measures that are Maximal

Content Provider	Scilit
Author	Byers, W. Boyarsky, A.
Copyright Year	1985
Description	Let $A$ be a certain irreducible $0{\text {-}}1$ matrix and let $\tau$ denote the family of piecewise linear Markov maps on $[0,1]$ which are consistent with $A$. The main result of this paper characterizes those maps in $\tau$ whose (unique) absolutely continuous invariant measure is maximal, and proves that for "most" of the maps that are consistent with $A$, the absolutely continuous invariant measure is not maximal.
Related Links	https://www.ams.org/tran/1985-290-01/S0002-9947-1985-0787967-3/S0002-9947-1985-0787967-3.pdf
Ending Page	314
Page Count	12
Starting Page	303
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1999796
Journal	Transactions of the American Mathematical Society
Issue Number	1
Volume Number	290
Language	English
Publisher	Duke University Press
Publisher Date	1985-07-01
Access Restriction	Open
Subject Keyword	Logic Mathematical Physics Absolutely Maximal Continuous Invariant Measure Text Irreducible Matrix Piecewise
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Absolutely Continuous Invariant Measures that are Maximal