%0 Journal Article %T Large Deviations for Riesz Potentials of Additive Processes %A R. Bass %A X. Chen %A J. Rosen %J Mathematics %D 2007 %I arXiv %X We study functionals of the form \[\zeta_{t}=\int_0^{t}...\int_0^{t} | X_1(s_1)+...+ X_p(s_p)|^{-\sigma}ds_1... ds_p\] where $X_1(t),..., X_p(t)$ are i.i.d. $d$-dimensional symmetric stable processes of index $0<\bb\le 2$. We obtain results about the large deviations and laws of the iterated logarithm for $\zeta_{t}$. %U http://arxiv.org/abs/0712.2401v1