Videos

Glauber Dynamics for the Ising Model on the Square Lattice

Presenter
January 13, 2012
SLMath
Keywords:
  • lattice theory
  • lattice models in mechanics
  • Ising model
  • Gibbs measure
  • phase transitions
  • partition functions
  • convergence to equilibrium
  • mixing time
MSC:
  • 60K35
  • 60J65
  • 60J67
  • 60Jxx
  • 60-xx
  • 82-xx
  • 06-xx
  • 82B41
  • 82B43
  • 82B44
  • 82B26
  • 82B27
  • 82Bxx
Glauber Dynamics for the Ising Model on the Square Lattice Thumbnail
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Abstract
The Glauber dynamics is one of the most practiced and extensively studied methods for sampling the Ising model on lattices. I will survey a number of new results on the mixing of the dynamics at high, critical and low temperatures. Joint work with Eyal Lubetzky, Fabio Martinelli, and Fabio Toninelli.
Abstract
Supplementary Materials