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Potts Model
"... www.elsevier.com/locate/jcp Dynamics and topological aspects of a reconstructed twodimensional foam time series using ..."
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www.elsevier.com/locate/jcp Dynamics and topological aspects of a reconstructed twodimensional foam time series using
Is the fuzzy Potts model Gibbsian?
, 2002
"... The fuzzy Potts model is obtained by looking at the Potts model with a pair of glasses that prevents distinguishing between some of the spin values. We show that the fuzzy Potts model on Z (d 2) is Gibbsian at high temeratures and nonGibbsian at low temperatures. ..."
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Cited by 9 (1 self)
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The fuzzy Potts model is obtained by looking at the Potts model with a pair of glasses that prevents distinguishing between some of the spin values. We show that the fuzzy Potts model on Z (d 2) is Gibbsian at high temeratures and nonGibbsian at low temperatures.
The forgotten Potts models
, 1994
"... The q = 10 and q = 200 state Potts models coupled to 2d gravity are investigated numerically and shown to have continuous phase transitions, contrary to their behavior on a regular lattice. Critical exponents are extracted and possible critical behavior for general qstate Potts models coupled to gr ..."
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The q = 10 and q = 200 state Potts models coupled to 2d gravity are investigated numerically and shown to have continuous phase transitions, contrary to their behavior on a regular lattice. Critical exponents are extracted and possible critical behavior for general qstate Potts models coupled
ARITHMETIC OF POTTS MODEL HYPERSURFACES
, 2011
"... We consider Potts model hypersurfaces defined by the multivariate Tutte polynomial of graphs (Potts model partition function). We focus on the behavior of the number of points over finite fields for these hypersurfaces, in comparison with the graph hypersurfaces of perturbative quantum field theor ..."
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We consider Potts model hypersurfaces defined by the multivariate Tutte polynomial of graphs (Potts model partition function). We focus on the behavior of the number of points over finite fields for these hypersurfaces, in comparison with the graph hypersurfaces of perturbative quantum field
Reconstruction of symmetric Potts models
"... Abstract. The reconstruction problem on the tree has been studied in numerous contexts including statistical physics, information theory and computational biology. However, rigorous reconstruction thresholds have only been established in a small number of models. We prove the first exact reconstruct ..."
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Cited by 5 (2 self)
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reconstruction threshold in a nonbinary model establishing the KestenStigum bound for the 3state Potts model on regular trees of large degree. We further establish that the KestenStigum bound is not tight for the qstate Potts model when q ≥ 5. Moreover, we determine asymptotics for the reconstruction
The superintegrable chiral Potts model
 Phys. Lett. A
, 1988
"... We adapt our previous results for the “partition function ” of the superintegrable chiral Potts model with open boundaries to obtain the corresponding matrix elements of e −αH, where H is the associated hamiltonian. The spontaneous magnetization Mr can be expressed in terms of particular matrix elem ..."
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Cited by 10 (6 self)
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We adapt our previous results for the “partition function ” of the superintegrable chiral Potts model with open boundaries to obtain the corresponding matrix elements of e −αH, where H is the associated hamiltonian. The spontaneous magnetization Mr can be expressed in terms of particular matrix
Fused Potts Models
, 1993
"... Generalizing the mapping between the Potts model with nearest neighbour interaction and the six vertex model, we build a family of ”fused Potts models ” related to the spin k/2 Uqsu(2) invariant vertex model and quantum spin chain. These Potts models have still variables taking values 1,..., Q ( √ ..."
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Cited by 2 (0 self)
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Generalizing the mapping between the Potts model with nearest neighbour interaction and the six vertex model, we build a family of ”fused Potts models ” related to the spin k/2 Uqsu(2) invariant vertex model and quantum spin chain. These Potts models have still variables taking values 1,..., Q
Nested sampling for Potts models
 Advances in Neural Information Processing Systems
, 2006
"... Nested sampling is a new Monte Carlo method by Skilling [1] intended for general Bayesian computation. Nested sampling provides a robust alternative to annealingbased methods for computing normalizing constants. It can also generate estimates of other quantities such as posterior expectations. The ..."
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Cited by 6 (0 self)
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. The key technical requirement is an ability to draw samples uniformly from the prior subject to a constraint on the likelihood. We provide a demonstration with the Potts model, an undirected graphical model.
The challenge of the chiral Potts model
, 2005
"... The chiral Potts model continues to pose particular challenges in statistical mechanics: it is “exactly solvable ” in the sense that it satisfies the YangBaxter relation, but actually obtaining the solution is not easy. Its free energy was calculated in 1988 and the order parameter was conjectured ..."
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Cited by 1 (1 self)
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The chiral Potts model continues to pose particular challenges in statistical mechanics: it is “exactly solvable ” in the sense that it satisfies the YangBaxter relation, but actually obtaining the solution is not easy. Its free energy was calculated in 1988 and the order parameter was conjectured
Potts Model On Random Trees
, 2004
"... Abstract. We study the Potts model on locally treelike random graphs of arbitrary degree distribution. Using a population dynamics algorithm we numerically solve the problem exactly. We confirm our results with simulations. Comparisons with a previous approach are made, showing where its assumption ..."
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Cited by 1 (1 self)
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Abstract. We study the Potts model on locally treelike random graphs of arbitrary degree distribution. Using a population dynamics algorithm we numerically solve the problem exactly. We confirm our results with simulations. Comparisons with a previous approach are made, showing where its
Results 1  10
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1,165