%0 Journal Article %T A new class of positive recurrent functions %A Pawel Hanus %A Mariusz Urbanski %J Mathematics %D 1999 %I arXiv %X Recently O. Sarig has introduced and explored the concept of positively recurrent functions. In this paper we construct a natural wide class of such functions and we showthat they have stronger ergodic properties than the general functions considered in Sarig's paper. %U http://arxiv.org/abs/math/9907167v1