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- W2950634994 abstract "We study the object formally defined as gammabig([0,t]^{2}big)=intint_{[0,t]^{2}} | X_{s}- X_{r}|^{-sigma} dr ds-Eintint_{[0,t]^{2}} | X_{s}- X_{r}|^{-sigma} dr ds, where $X_{t}$ is the symmetric stable processes of index $0<betale 2$ in $R^{d}$. When $betalesigma<displaystylemin Big{{3over 2}beta, dBig}$, this has to be defined as a limit, in the spirit of renormalized self-intersection local time. We obtain results about the large deviations and laws of the iterated logarithm for $gamma$. This is applied to obtain results about stable processes in random potentials." @default.
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- W2950634994 date "2009-10-18" @default.
- W2950634994 modified "2023-09-27" @default.
- W2950634994 title "Large deviations and renormalization for Riesz potentials of stable intersection measures" @default.
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