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Asymptotic behavior of functions, asymptotic series and related topics

3 votes
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Rate of convergence of ergodic averages related to irrational rotation

Let $\alpha$ be an irrational number, consider the basic dynamical system $T^{n}(0) = \{n \alpha\}$ where $\{.\}$ denotes the fractional part. Let $a < b$ be two numbers in $[0, 1]$. Then by Birkhoff' …
Mohammad Ali Karami's user avatar