Systems with multiple local energy minima like the Potts model become hard to sample as the algorithm gets stuck in the system's local minima.
The infinite-range Potts model is known as the Kac model.
For defining the Potts model, either this whole space, or a certain subset of it, a subshift of finite type, may be used.
The Potts model has applications in signal reconstruction.
There are 10 representations, which are related to the 3-state Potts model.
There are 15 representations, which are related to the tri critical 3-state Potts model.
Examples include the 2d critical Ising model and the more general 2d critical Potts model.
It is also a special case of the chiral Potts model and the Kashiwara-Miwa model.
These give the 10 fields of the 3-state Potts model.
These give the 15 fields of the tri critical 3-state Potts model.