The diffusion of self-avoiding random walk in high dimensions |
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| Authors: | Gordon Slade |
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| Institution: | (1) Department of Mathematics, University of Virginia, 22903 Charlottesville, VA, USA;(2) Present address: Department of Mathematics and Statistics, McMaster University, L8S 4K1 Hamilton, Ontario, Canada |
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| 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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