Ergodic Properties Of θ-Expansions And A Gauss-Kuzmin-Type Problem
Abstract
A generalization of the regular continued fractions was given by Chakraborty and Rao 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 RS-1992 and obtained the solution of its Gauss-Kuzmin-type problem.
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