Renormalisation group analysis of weakly self-avoiding walk in dimensions four and higher

Mathematics – Probability

Scientific paper

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25 pages, 1 diagram, lecture at ICM 2010, Hyderabad, in section on probability and statistics, crosslisted with section on mat

Scientific paper

We outline a proof, by a rigorous renormalisation group method, that the
critical two-point function for continuous-time weakly self-avoiding walk on
Z^d decays as |x|^{-(d-2)} in the critical dimension d=4, and also for all d>4.

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