Invariant measure and a limit theorem for some generalized Gauss maps

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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