The Ising Model
Phase Transitions in the Ising Model
... THE ISING MODEL Eva Ellis-Monaghan ...the Ising model, a model conceived by Ernst Ising to model ...a model which brings together aspects of graph theory, ...
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Topological dualities in the Ising model
... The Ising model assigns two possible states (spins valued in ˘1) to each node of a 2-dimensional ...The model also has a 2D Euclidean (lattice) quantum field theory interpretation, with a space of ...
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Weighted dependency graphs and the Ising model
... Proposition 2.1. For all A = {x 1 , . . . , x n } finite subset of Z d , we have ℓ T ( A ) ≤ ℓ ′ T ( A ) ≤ 2 ℓ T ( A ) . 3. Cluster expansions and bounds on joint cumulants The cluster expansion is a powerful tool in ...
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Annealed central limit theorems for the Ising model on random graphs
... ferromagnetic Ising model on a random graph de- scribes situations in which single units establish macroscopic cooperative behavior in the presence of the random and complex connectivity structure described ...
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Annealed limit theorems for the ising model on random regular graphs
... Potts’ model where the spin of vertex may take q values with q ≥ 3, and the Hamiltonian is proportional to the number of agreeing ...this model, but it would require much ...the Ising model ...
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Quenched Central Limit Theorems for the Ising Model on Random Graphs
... The goal of this paper is to derive asymptotic results for the sum of the spin variables in the Ising model on random graphs at the level of the law of large numbers LLN and of the centr[r] ...
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Quenched Central Limit Theorems for the Ising Model on Random Graphs
... configuration model with all vertices having degree two, ...the Ising model in one ...configuration model with degrees 1 and 2, that also follows a Gaussian law in the limit of very large ...
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Deep Learning the Ising Model Near Criticality
... the model parameters of the RBM are tuned such that the probability of generating a data set statistically similar to the training data set is ...the model-dependent ...
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Corner transfer matrices of the Ising model in statistical mechanics
... eight-vertex model on the squ are lattice using the CTM suggested by Baxter (1976) is applied to the anisotropic, ferromagnetic, triangular Ising lattice in zero field below its critical ...
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Applications of Combinatorial Analysis to the Calculation of the Partition Function of the Ising Model
... planar Ising model is defined on a square lattice ...1.1: Ising Model a ‘particle’ with two possible ...this model is as follows: Consider a solid consisting of N identical atoms ...
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An Ising model for earthquake dynamics
... The Ising model tested, although it is a very simplified one for describing the seismicity, points out some interesting be- haviors: first, the Benioff strain contains more information about the sequence of ...
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A sparse ising model with covariates
... In the Ising model, the network structure can be iden- tified from the coefficients of the interaction terms in the probability mass function. The problem is, however, consid- erably more difficult due to the ...
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Structure-Function Relationship of the Brain: A comparison between the 2D Classical Ising model and the Generalized Ising model
... to model the dynamics of the brain. The reason for choosing the Ising model out of the two models will be presented as ...generalized Ising model will be introduced as the model ...
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Conformal Invariance of Ising Model Correlations
... eywords: Ising Model, Conform al F ield T heory, Conform al Invariance, E xact Solvabil- ity, Scaling Lim it s, Crit ical P henom ena, Spinors, Discret e Com plex Analysis ...The Ising model ...
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The Stochastic Ising Model with the Mixed Boundary Conditions
... ferromagnetic model of statistical physics, which is the Ising model, see ...simple model. Considering the Ising model on the two-dimensional integer lattice Z 2 , at sufficiently ...
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The Fate of Ernst Ising and the Fate of his Model
... 2D Ising model universal- ity class, the critical exponent describing, let us say its spontaneous magnetization, has to be ...the Ising model universality class, either in 2D or in ...
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Bootstrapping mixed correlators in the 3D Ising model
... the Ising point and another big region at ∆ σ & ...the Ising model, we could have assumed a bigger gap in the Z 2 -odd sector to get an even smaller allowed region in the (∆ σ , ∆ ǫ ) ...the ...
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Bootstrapping mixed correlators in the 3D Ising model
... the Ising point and another big region at ∆ σ & ...the Ising model, we could have assumed a bigger gap in the Z 2 -odd sector to get an even smaller allowed region in the (∆ σ , ∆ ǫ ) ...the ...
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Exact Ising model simulation on a quantum computer
... the Ising model [17]: the main difference respect to the work proposed in that paper is we have access to the whole energy spectrum, which allows us to simulate time and temperature evolution as ...an ...
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Machine Learning Methods on 2D Ising Model
... The 7-Class case of transfer learning supports the claims done in the previous section. We can see the confusion matrix in Figure 22 on page 33 We, again, do not have a well prediction of the critical temperature; ...
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