Chakraborty, P. S. ; Dasgupta, A. (2004) Invariant measure and a limit theorem for some generalized Gauss maps Journal of Theoretical Probability, 17 (2). pp. 387-401. ISSN 0894-9840
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Official URL: https://link.springer.com/article/10.1023/B:JOTP.0...
Related URL: http://dx.doi.org/10.1023/B:JOTP.0000020700.45630.5c
Abstract
Continued fractions w.r.t. a specified class of numbers is considered. The invariant measures of the corresponding transformations are identified connecting the continued fractions with geodesics on the upper half plane. A problem of convergence in distribution of sums of the coefficients of the continued fraction is also considered.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Verlag. |
| Keywords: | Continued Fraction; Geodesic Flow; Invariant Measure; Limit Theorems |
| ID Code: | 112440 |
| Deposited On: | 05 Jun 2018 06:28 |
| Last Modified: | 05 Jun 2018 06:28 |
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