We consider one-dimensional maps τ of the interval I , which have the folding property. This implies the existence of a non-atomic invariant measure. We define a Frobenius-Perron type operator, associated with τ, on the space of distribution functions on I . Fixed points of give rise to functional equations for which continuous non-decreasing solutions exist.
|Number of pages||8|
|Journal||Dynamical Systems: an international journal|
|Publication status||Published - Jun 2006|