On the law of logarithm of the recurrence time
Chihurn KimDepartment of Mathematics Korea Advanced Institute of Science and Technology Daejeon, 305-701, Korea and School of Mathematics Korea Institute for Advanced Study Seoul, 130-722, KoreaDong Han KimDepartment of Mathematics Korea Advanced Institute of Science and Technology Daejeon, 305-701, Korea and School of Mathematics Korea Institute for Advanced Study Seoul, 130-722, Korea
2004en
ABI
Аннотация
Let $T$ be a transformation from $I=[0,1)$ onto itself andlet $Q_n(x)$ be the subinterval $[i/2^n,(i+1)/2^n)$, $0 \leq i $\lim_{n\to\infty}\frac{\log K_n(x)}{n}=1 \quad$and$\quad\lim_{n\to\infty}\frac{\log K_n(x,y)}{n}=1 \quad $a.e.
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