Constructive approximations to densities invariant under nonexpanding transformations.

DOI10.1007/BF01015325zbMath1086.37500OpenAlexW2092753054MaRDI QIDQ1963634

Yanyan Li

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01015325

zbMATH Keywords

absolutely continuous invariant measurePiecewise monotonicapproximation of the density functionnonexpanding transformation

Mathematics Subject Classification ID

Ergodic theory (37A99) Functions of one variable (26A99) Measure-theoretic ergodic theory (28D99)

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Cites Work

• Absolutely continuous measures for certain maps of an interval
• A matrix method for estimating the Lyapunov exponent of one-dimensional systems.
• Compactness of Invariant Densities for Families of Expanding, Piecewise Monotonic Transformations
• On a Class of Transformations which have Unique Absolutely Continuous Invariant Measures
• On the conjugacy of a certain class of homogeneous endomorphisms to the class of piecewise-monotonic maps