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Joint asymptotic behavior of local and occupation times

Endre Csáki·Antónia Földes·Pál Révész
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Abstract

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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Endre Csáki, Antónia Földes, Pál Révész. 2005-11-02. Joint asymptotic behavior of local and occupation times. https://arxiv.org/abs/math/0511049

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