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MR2261059 (2007m:60064) 60F10 (60J55 60J65)
Bass, Richard F.; Chen, Xia; Rosen, Jay Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks. Electron. J. Probab. 11 (2006), no. 37, 993–1030.
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