%0 Journal Article %T Large deviations for renormalized self-intersection local times of stable processes %A Richard Bass %A Xia Chen %A Jay Rosen %J Mathematics %D 2005 %I arXiv %R 10.1214/009117904000001099 %X We study large deviations for the renormalized self-intersection local time of d-dimensional stable processes of index \beta \in (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 \beta