Invariant Measure and a Limit Theorem for Some Generalized Gauss Maps

P. S. Chakraborty () and A. Dasgupta ()
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P. S. Chakraborty: Indian Statistical Institute
A. Dasgupta: Indian Statistical Institute

Journal of Theoretical Probability, 2004, vol. 17, issue 2, 387-401

Abstract: 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 (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1023/B:JOTP.0000020700.45630.5c

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