Ergodic Properties Of $\theta$-Expansions And A Gauss-Kuzmin-Type   Problem
  A generalization of the regular continued fractions was given by Chakraborty and Rao \cite{CR-2003}. For the transformation which generates this expansion and its invariant measure, the Perron-Frobenius operator is given and studied. For this expansion, we apply the method of Rockett and Sz\"usz \cite{RS-1992} and obtained the solution of its Gauss-Kuzmin-type problem. 
Dan Lascu and Florin Nicolae
math.NT math.DS