Large deviations and renormalization for Riesz potentials of stable intersection measures
We study the object formally defined as where Xt denotes the symmetric stable processes of index 0<[beta]<=2 in Rd. When , 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.
Year of publication: |
2010
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Authors: | Chen, Xia ; Rosen, Jay |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 120.2010, 9, p. 1837-1878
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Publisher: |
Elsevier |
Keywords: | Large deviations Renormalization Riesz potentials Stable intersection measure |
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