Article
The Nearest Integer Continued Fraction and the Moving Average Ergodic Theorem
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Abstract
We use a moving average ergodic theorem to derive various re- sults concerning moving averages of nearest integer continued fractions previously known only for non-moving averages and then derived using the pointwise ergodic theorem.
Keywords
Continued fraction, dynamical system, Lebesgue measure, ergodic.
Citation
Haili-Kamarul, H. & Nair, R. (2013). The nearest integer continued fraction and the moving average ergodic theorem. Uniform Distribution Theory, 8(1), 73–87.
H. Haili-Kamarul and R. Nair, “The nearest integer continued fraction and the moving average ergodic theorem,” Uniform Distribution Theory, vol. 8, no. 1, pp. 73–87, 2013.
Haili-Kamarul H, Nair R. The nearest integer continued fraction and the moving average ergodic theorem. Uniform Distribution Theory. 2013;8(1):73–87.
Haili-Kamarul, H. and Nair, R. (2013), ‘The nearest integer continued fraction and the moving average ergodic theorem’, Uniform Distribution Theory, 8(1), pp. 73–87.
Haili-Kamarul, Hailiza, and Radhakrishnan Nair. “The Nearest Integer Continued Fraction and the Moving Average Ergodic Theorem.” Uniform Distribution Theory, vol. 8, no. 1, 2013, pp. 73–87.
Haili-Kamarul, Hailiza, and Radhakrishnan Nair. “The Nearest Integer Continued Fraction and the Moving Average Ergodic Theorem.” Uniform Distribution Theory 8, no. 1 (2013): 73–87.
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Published by: Engineering Journals
