37 citations · 199 across the 14 of their papers we have counts for
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Factorization of Ising correlations C(M,N) for and M+N odd, , and their lambda extensions
S. Boukraa, C. Cosgrove, J. -M. Maillard +1
We study the factorizations of Ising low-temperature correlations C(M,N) for and M+N odd, , for both the cases where there are two factors, and wher…
The Ising correlation for
S. Boukraa, J-M. Maillard, B. M. McCoy
We present Painlev{é} VI sigma form equations for the general Ising low and high temperature two-point correlation functions with in the special case …
Analyticity of the Ising susceptibility: An interpretation
M. Assis, J. L. Jacobsen, I. Jensen +2
We discuss the implications of studies of partition function zeros and equimodular curves for the analytic properties of the Ising model on a square lattice in a magnetic field. In…
The anisotropic Ising correlations as elliptic integrals: duality and differential equations
B. M. McCoy, J-M. Maillard
We present the reduction of the correlation functions of the Ising model on the anisotropic square lattice to complete elliptic integrals of the first, second and third kind, the e…
The importance of the Ising model
B. M. McCoy, J-M. Maillard
Understanding the relationship which integrable (solvable) models, all of which possess very special symmetry properties, have with the generic non-integrable models that are used…
Diagonal Ising susceptibility: elliptic integrals, modular forms and Calabi-Yau equations
M. Assis, S. Boukraa, S. Hassani +3
We give the exact expressions of the partial susceptibilities and for the diagonal susceptibility of the Ising model in terms of modular forms and Calabi-Ya…
Factorization of the Ising model form factors
M. Assis, J-M. Maillard, B. M. McCoy
We present a general method for analytically factorizing the n-fold form factor integrals for the correlation functions of the Ising model on the diagonal in ter…
Fuchs versus Painlevé
S. Boukraa, S. Hassani, J. -M. Maillard +3
We briefly recall the Fuchs-Painlevé elliptic representation of Painlevé VI. We then show that the polynomiality of the expressions of the correlation functions (and form factors)…
Form factor expansion of the row and diagonal correlation functions of the two dimensional Ising model
I. Lyberg, B. M. McCoy
We derive and prove exponential and form factor expansions of the row correlation function and the diagonal correlation function of the two dimensional Ising model.
Holonomy of the Ising model form factors
S. Boukraa, S. Hassani, J. -M. Maillard +3
We study the Ising model two-point diagonal correlation function by presenting an exponential and form factor expansion in an integral representation which differs from t…
Painleve versus Fuchs
S. Boukraa, S. Hassani, J. -M. Maillard +3
The sigma form of the Painlev{é} VI equation contains four arbitrary parameters and generically the solutions can be said to be genuinely ``nonlinear'' because they do not satisfy…