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arXiv · 1405.3882

Ergodic Properties Of $θ$-Expansions And A Gauss-Kuzmin-Type Problem

Dan Lascu·Florin Nicolae
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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 Szüsz \cite{RS-1992} and obtained the solution of its Gauss-Kuzmin-type problem.

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Dan Lascu, Florin Nicolae. 2014-05-15. Ergodic Properties Of $θ$-Expansions And A Gauss-Kuzmin-Type Problem. https://arxiv.org/abs/1405.3882

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