BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Torus plateaux in high-dimensional critical phenomena - Gordon Sla
 de (University of British Columbia)
DTSTART:20240710T104500Z
DTEND:20240710T114500Z
UID:TALK215587@talks.cam.ac.uk
DESCRIPTION:Boundary conditions play an important role in the finite-size 
 scaling of critical statistical mechanical models in high dimensions. &nbs
 p\;For periodic boundary conditions\, the critical two-point function deca
 ys at small distances like the infinite-volume two-point function\, but at
  larger distances it levels off to a constant "plateau" value. &nbsp\;This
  phenomenon has been proved for self-avoiding walk and spin systems in dim
 ensions d>4 and for percolation in dimensions d>6. &nbsp\;Results for a hi
 erarchical spin model lead\, via a universality hypothesis\, to striking c
 onjectures for universal scaling profiles and non-Gaussian limits. &nbsp\;
 This talk will give a survey of recent collaborations with Tom Hutchcroft\
 , Yucheng Liu\, Emmanuel Michta\, Romain Panis\, and Jiwoon Park.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR