Ergodic Properties Of $\theta$-Expansions And A Gauss-Kuzmin-Type Problem
Number Theory
2014-05-16 v1 Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1405.3882,
title = {Ergodic Properties Of $\theta$-Expansions And A Gauss-Kuzmin-Type Problem},
author = {Dan Lascu and Florin Nicolae},
journal= {arXiv preprint arXiv:1405.3882},
year = {2014}
}
Comments
19 pages