Well, not quite a random walk. The steps aren't necessarily ±1, but they have mean 0 and will take values >ε with positive probability. It seems intuitive that such a process will be unbounded and will cross this bound infinitely many times (in 1D). Does anyone know of a result that says this?(adsbygoogle = window.adsbygoogle || []).push({});

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# Will a random walk hit every point infinitely often?

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