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On a Gauss-Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure

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  • C. Ganatsiou

Abstract

A random system with complete connections associated with a piecewise fractional linear map with explicit invariant measure is defined and its ergodic behaviour is investigated. This allows us to obtain a variant of Gauss-Kuzmin type problem for the above linear map.

Suggested Citation

  • C. Ganatsiou, 2000. "On a Gauss-Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-11, January.
  • Handle: RePEc:hin:jijmms:130139
    DOI: 10.1155/S0161171200003872
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