Absolutely continuous invariant measures that are maximal
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- by W. Byers and A. Boyarsky PDF
- Trans. Amer. Math. Soc. 290 (1985), 303-314 Request permission
Abstract:
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.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 290 (1985), 303-314
- MSC: Primary 58F08; Secondary 58F11
- DOI: https://doi.org/10.1090/S0002-9947-1985-0787967-3
- MathSciNet review: 787967