Self-avoiding walk in 5 or more dimensions |
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| Authors: | David Brydges Thomas Spencer |
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| Institution: | (1) Department of Mathematics, University of Virginia, 22903 Charlottesville, VA, USA;(2) Courant Institute of Mathematical Sciences, 251 Mercer Street, 10012 New York, NY, USA |
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| Abstract: | Using an expansion based on the renormalization group philosophy we prove that for aT step weakly self-avoiding random walk in five or more dimensions the variance of the endpoint is of orderT and the scaling limit is gaussian, asT  .Dedicated to the memory of Kurt Symanzik whose profound contributions have guided and inspired usWork partially supported by N.S.F. Grant DMR 81-00417A. P. Sloan Foundation Fellow. Work partially supported by N.S.F. Grant MCS 82-02115 |
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