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
Technological Educational Institute of Larissa, School of Technological Applications, Department of Exact Sciences, Section of Mathematics, Larissa, Greece
Received 10 September 1999
Copyright © 2000 C. Ganatsiou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.