UBC Probability Seminar: Gordon Slade

  • Date: 10/12/2022
  • Time: 15:15
Lecturer(s):
Gordon Slade, UBC
Location: 

University of British Columbia

Topic: 

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

Description: 

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.