Videos

Limit shapes in the double-Ising model

Presenter
February 24, 2012
Keywords:
  • mathematical statistical mechanics
  • percolation
  • probability theory
  • phase transitions
  • scaling laws
  • SLE
  • Ising model
  • amoeba
  • tropical geometry
MSC:
  • 82C20
  • 82C26
  • 82C27
  • 82C05
  • 82C44
  • 82C43
  • 82Cxx
  • 82-xx
Abstract
We describe a naturally-occurring 3-parameter family of measures on double-Ising configurations on Z^2 obtained by conditioning on spin domain boundary connections. We formulate an appropriate variational principle and discuss the relevant limit shape formation.
Supplementary Materials