40 research outputs found
A Gauss-Kuzmin theorem for continued fractions associated with non-positive interger powers of an integer
We consider a family of interval maps introduced by
Hei-Chi Chan [5] as generalizations of the Gauss transformation. For the
continued fraction expansion arising from , we solve its
Gauss-Kuzmin-type problem by applying the method of Rockett and Sz\"usz [18].Comment: 18 page