UBC Probability Seminar: Gordon Slade

  • Date: 10/12/2022
  • Time: 15:15
Gordon Slade, UBC

University of British Columbia


Finite-size scaling for the 4-dimensional multicomponent hierarchical |phi|^4 model


We apply and extend the renormalisation group method developed by Bauerschmidt, Brydges and Slade to analyse near-critical finite-size scaling for the 4-dimensional n-component hierarchical |ϕ|4 model, for all n=1,2,3,… In particular, we compute the universal scaling profile of the susceptibility in a critical window around the infinite-volume critical point. Our methods have the potential to extend from the hierarchical to the Euclidean model. Implications for the self-avoiding walk (the case n=0) are also discussed.


This is based on joint work in progress with Emmanuel Michta and Jiwoon Park.

Other Information: 

Time: 3.15pm Pacific

Location: UBC - PIMS Lounge (ESB 4133)


More event details can be found here.