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

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

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.

Bibliographic Details
Main Author: C. Ganatsiou
Format: Article
Language:English
Published: Hindawi Limited 2000-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Piecewise fractional linear map
random system with complete connections
ergodic behaviour
Markov operator
invariant measure
Gauss-Kuzmin type problem.
Online Access:http://dx.doi.org/10.1155/S0161171200003872

Internet

http://dx.doi.org/10.1155/S0161171200003872

Similar Items