 Law of the iterated logarithm for a simple symmetric random walk

ID: law-of-the-iterated-logarithm-for-a-simple-symmetric-random-walk

lim sup_{n \to \infty} \frac{S _{n}}{2 n l o g l o g n} = 1, lim inf_{n \to \infty} \frac{S _{n}}{2 n l o g l o g n} = - 1.

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