The asymptotic behavior of the renormalized zero resolvent of L\'evy processes under regular variation conditions

Kouji Yano; Mingdong Zhao

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arXiv · 2502.18820

The asymptotic behavior of the renormalized zero resolvent of L\'evy processes under regular variation conditions

Kouji Yano·Mingdong Zhao

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Abstract

As an analogue to the explicit formula in the stable case, the asymptotic behavior at the origin of the renormalized zero resolvent of one-dimensional L\'evy processes is studied under certain regular variation conditions on the L\'evy-Khinchin exponent and the L\'evy measure.

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Kouji Yano, Mingdong Zhao. 2025-02-26. The asymptotic behavior of the renormalized zero resolvent of L\'evy processes under regular variation conditions. https://arxiv.org/abs/2502.18820

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