Institute of Mathematics for Industry


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Critical behaviour of spin systems and weakly self-avoiding walk in dimension 4

Hold Date 2015-06-03 16:00~2015-06-03 17:30

Place Seminar Room 1, Faculty of Mathematics building, Ito Campus

Object person  

Speaker Gordon Slade (University of British Columbia)

We discuss recent results which apply a rigorous renormalisation group method to study various critical correlation functions for multi-component phi^4 spin systems and weakly self-avoiding walk, in dimension 4.  For weakly self-avoiding walk, the results include the critical behaviour of star and watermelon networks. For spin systems, the phenomena is richest for spins with at least two components.  This is joint work with Alexandre Tomberg.

* This seminar collaborates with Probability Seminar.