Dan Lascu
Published 2010-10-23, updated 2013-09-18Version 2
We study a family of continued fraction expansion of reals from the unit interval. The Perron-Frobenius operator of the transformation which generates this expansion under the invariant measure of this transformation is given. Using the ergodic behavior of homogeneous random system with complete connections associated with this expansion we solve a variant of Gauss-Kuzmin problem for this continued fraction expansion.
Comments: 15 pages, Chapter 4 of my PhD thesis
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On the continued fraction expansion of certain Engel series
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