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Small ball probability of collision local time for symmetric stable processes
Minhao Hong, Qian Yu · 2026-03-04 · via math.PR updates on arXiv.org

In this article, the small ball probability is obtained for the collision local time of two independent symmetric $α-$stable processes with parameters $α_1,α_2\in(0,2]$ satisfying $\max\{α_1,α_2\}>1$. The proof is based on obtaining the asymptotic behavior of moment generating function by contour integration.

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