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arxiv: math/0511049 · v1 · pith:EPP6I3MSnew · submitted 2005-11-02 · 🧮 math.PR

Joint asymptotic behavior of local and occupation times

classification 🧮 math.PR
keywords localasymptoticbehaviorjointoccupationtimetimesalmost
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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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