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Laws of Chaos pp 139-173 | Cite as

Properties of Absolutely Continuous Invariant Measures

  • Abraham Boyarsky
  • Pawel Góra
Part of the Probability and Its Applications book series (PA)

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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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Abraham Boyarsky
    • 1
  • Pawel Góra
    • 1
  1. 1.Department of Mathematics and StatisticsConcordia UniversityMontrealCanada

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