Invariant Measure and a Limit Theorem for Some Generalized Gauss Maps |
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| Authors: | P S Chakraborty A Dasgupta |
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| Institution: | (1) Stat-Math Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata, 700108, India |
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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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| Keywords: | Continued fraction geodesic flow invariant measure limit theorems |
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