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Dimers and families of Cauchy-Riemann operators

Presenter
March 28, 2012
MSRI
Keywords:
  • mathematical physics
  • mathematical statistical mechanics
  • conformal field theory
  • conformal invariance
  • probability theory
  • random point process
  • SLE
  • dimers
  • Cauchy-Riemann geometry
MSC:
  • 60K35
  • 60J45
  • 60J65
  • 60J67
  • 60Jxx
  • 60-xx
  • 60G57
  • 60G60
  • 82-xx
  • 82B43
  • 82B44
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Abstract
We explain how the analysis of families of discrete CR operators and their scaling limits may be used to study dimer observables, in particular singular (electric and magnetic) correlators. Applications to Ising correlations are discussed.
Abstract
Supplementary Materials