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Metric properties of a certain class of mappings of a segment

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Publication:1170652
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DOI10.1007/BF01140221zbMath0497.28015MaRDI QIDQ1170652

A. I. Ognev

Publication date: 1981

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

absolutely continuous invariant measurenormal families of analytic functionsunstable periodic trajectory


Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory (37A99) One-parameter continuous families of measure-preserving transformations (28D10)


Related Items (3)

Absolutely continuous invariant measures for one-parameter families of one-dimensional maps ⋮ Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters ⋮ Continuous measures in one dimension



Cites Work

  • Unnamed Item
  • Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1\)]
  • On the Existence of Invariant Measures for Piecewise Monotonic Transformations


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