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The limiting distribution and error terms for return times of dynamical systems
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On the law of logarithm of the recurrence time
1. | Department of Mathematics, Korea Advanced Institute of Science and Technology, Daejeon, 305-701, South Korea |
2. | School of Mathematics, Korea Institute for Advanced Study, Seoul, 130-722, South Korea |
$ \lim_{n\to\infty}\frac{\log K_n(x)}{n}=1 \quad$and$\quad \lim_{n\to\infty}\frac{\log K_n(x,y)}{n}=1 \quad $a.e.
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