Invariant measure and a limit theorem for some generalized Gauss maps

Date

2004

Authors

Chakraborty, Partha Sarathi
Dasgupta, A.

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Journal article

Citation

Journal of Theoretical Probability, 2004; 17 (2):387-401

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P. S. Chakraborty and A. Dasgupta

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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.

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School of Mathematical Sciences

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The original publication can be found at www.springerlink.com

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