International Journal of Mathematics and Mathematical Sciences 
Volume 24 (2000), Issue 11, Pages 753-763
doi:10.1155/S0161171200003872

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

C. Ganatsiou

 Technological Educational Institute of Larissa, School of Technological Applications, Department of Exact Sciences, Section of Mathematics, Larissa, Greece
Received 10 September 1999

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.