Abstract
In Chapter 5, we proved the existence of absolutely continuous invariant measures for a large class of piecewise expanding transformations on an interval. Chapter 7 gave information on how a transformation decomposes the underlying space into sets each of which supports an acim. In this chapter we present properties of the absolutely continuous invariant measures themselves by studying the densities of these measures.
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© 1997 Springer Science+Business Media New York
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Boyarsky, A., Góra, P. (1997). Properties of Absolutely Continuous Invariant Measures. In: Laws of Chaos. Probability and Its Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-2024-4_8
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DOI: https://doi.org/10.1007/978-1-4612-2024-4_8
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7386-8
Online ISBN: 978-1-4612-2024-4
eBook Packages: Springer Book Archive