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Recent developments on Ising and chiral Potts model.
Spanning trees and expansions for the Potts model partition function in an external field
Tutte polynomial Potts model spanning trees V -polynomial external field Hamiltonian edge activities
2011/9/5
Abstract: We use a deletion-contraction relation for the variable field Potts model partition function to give an expansion of the variable field Potts model partition function in terms of the zero fi...
We review the exact results on the various critical regimes of the antiferromagnetic Q-state Potts model. We focus on the Bethe Ansatz approach for generic Q, and describe in each case the effective d...
On rates of convergence in the Curie-Weiss-Potts model with external field
rates of convergence Curie-Weiss-Potts model external field
2010/11/8
Stein's Method provides a way of bounding the distance of a probability distribution to a target distribution. In the present paper we obtain rates of convergence for limit theorems via Stein's Metho...
On dynamical systems and phase transitions for $Q+1$-state $P$-adic Potts model on the Cayley tree
dynamical systems phase transitions
2010/11/11
In the present paper, we introduce a new kind of $p$-adic measures for $q+1$-state Potts model, called {\it $p$-adic quasi Gibbs measure}. For such a model, we derive a recursive relations with respe...
Potts Model with two Competing Binary Interactions
Potts model competing interactions Gibbs measure
2010/2/26
The Potts model on a Cayley tree in the presence of competing two binary interactions and magnetic field is considered. We exactly solve a problem of phase transitions for the model,namely we calculat...
Exact Potts Model Partition Functions on Ladder Graphs
Exact Potts Model Partition Functions Ladder Graphs
2010/11/2
We present exact calculations of the partition function $Z$ of the $q$-state Potts model and its generalization to real $q$, the random cluster model, for arbitrary temperature on $n$-vertex ladder gr...