Abstract
We use the Brydges-Spencer lace expansion to prove that the mean square displacement of aT step strictly self-avoiding random walk in thed dimensional square lattice is asymptotically of the formDT asT approaches infinity, ifd is sufficiently large. The diffusion constantD is greater than one.
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Communicated by J. Fröhlich
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Slade, G. The diffusion of self-avoiding random walk in high dimensions. Commun.Math. Phys. 110, 661–683 (1987). https://doi.org/10.1007/BF01205555
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DOI: https://doi.org/10.1007/BF01205555