Joint asymptotic behavior of local and occupation times

Mathematics – Probability

Scientific paper

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28 pages, 2 figures

Scientific paper

Considering a simple symmetric random walk in dimension $d\geq 3$, we study
the almost sure joint asymptotic behavior of two objects: first the local times
of a pair of neighboring points, then the local time of a point and the
occupation time of the surface of the unit ball around it.

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