Adelaide Research & Scholarship
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https://hdl.handle.net/2440/46221
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| Type: | Journal article |
| Title: | Invariant measure and a limit theorem for some generalized Gauss maps |
| Author: | Chakraborty, Partha Sarathi Dasgupta, A. |
| Citation: | Journal of Theoretical Probability, 2004; 17 (2):387-401 |
| Publisher: | Kluwer / Plenum |
| Issue Date: | 2004 |
| ISSN: | 0894-9840 |
| School/Discipline: | School of Mathematical Sciences |
| Statement of Responsibility: | P. S. Chakraborty and A. Dasgupta |
| 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. |
| Keywords: | Continued fraction; geodesic flow; invariant measure; limit theorems |
| Description: | The original publication can be found at www.springerlink.com |
| DOI: | 10.1023/B:JOTP.0000020700.45630.5c |
| Appears in Collections: | Mathematical Sciences publications |
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