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What is Proving Random Walk Hits Every Integer about?

The document explains that a simple symmetric random walk on ZZ hits every integer with probability 1 by utilizing the Law of the Iterated Logarithm (LIL) along with recurrence and irreducibility properties. The random walk oscillates infinitely and grows like n log log n, ensuring it returns to the origin and can reach any integer. Thus, the walker will eventually hit every integer with probability 1.

Author

enp8s0

Language

EN