Critical behaviour of spin systems and weakly self-avoiding walk in dimension 4
九州確率論セミナー
開催期間
2015.6.3(水)
16:00 ~ 17:20
16:00 ~ 17:20
場所
九州大学 伊都キャンパス 数理学研究教育棟3階 中セミナー室1
講演者
Gordon Slade (University of British Columbia)
概要
講演概要:
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.