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Quasi-polynomial mixing of the 2D stochastic Ising model with "plus" boundary up to criticality
Ising model Mixing time Phase coexistence Glauber dynamics
2011/1/18
We considerably improve upon the recent result of [34] on the mixing time of Glauber dynamics for the 2d Ising model in a box of side L at low temperature and with random boundary conditions whose dis...
Critical Ising Model and Cycle Rooted Spanning Forests: an explicit correspondence
Critical Ising Model Cycle Rooted Spanning Forests explicit correspondence
2011/2/24
Fisher established an explicit correspondence between the 2-dimensional Ising model defined on a graph G and the dimer model defined on a decorated version G of this graph [Fis66]. In this paper, we p...
Critical Ising Model and Cycle Rooted Spanning Forests: an explicit correspondence
Critical Ising Model Cycle Rooted explicit correspondence
2011/3/4
Fisher established an explicit correspondence between the 2-dimensional Ising model defined on a graph G and the dimer model defined on a decorated version G of this graph [Fis66].
Efficient Exact Sampling for the Ising Model at all Temperatures
Ising model exact sampling random cluster model
2011/2/22
The Ising model is often referred to as the most studied model of statistical physics. It describes the behavior of ferromagnetic material at different temperatures.
In this paper, a mean-field equation of motion which is derived by
Penrose (1991) for the dynamic Ising model with Glauber dynamics is
considered. Various finite difference schemes such as explicit ...