A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions
Using the natural extension for θ-expansions, we give an infinite-order-chain representation of the sequence of the incomplete quotients of these expansions. Together with the ergodic behavior of a certain homogeneous random system with complete connections, this allows us to solve a variant of Gaus...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2014-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2014/980461 |