Large deviations for renormalized self-intersection local times of stable processes
Richard Bass, Xia Chen, Jay Rosen
Abstract
We study large deviations for the renormalized self-intersection local time of d-dimensional stable processes of index β∈ (2d/3,d]. We find a difference between the upper and lower tail. In addition, we find that the behavior of the lower tail depends critically on whether β<d or β=d.
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