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Results tagged with limits-and-convergence
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user 71069
Convergence of series, sequences and functions and different modes of convergence.
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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' …
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