activity
19982008
most citedExperimental mathematics on the magnetic susceptibility of the square lattice Ising model

54 citations · 201 across the 12 of their papers we have counts for

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Showing 2007Show all

5 papers · 1 filter

math.DS20077 cited

Degree Complexity of a Family of Birational Maps

Eric Bedford, Kyounghee Kim, Truong Trung Tuyen +2

We compute the degree complexity of a family of birational mappings of the plane with high order singularities.

math-ph20074 cited

From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curve

Salah Boukraa, Saoud Hassani, Jean-Marie Maillard +1

We recall the form factors corresponding to the -extension of the two-point diagonal correlation function of the Ising model on the square lattice a…

math-ph200730 cited

Singularities of -fold integrals of the Ising class and the theory of elliptic curves

S. Boukraa, S. Hassani, J. -M. Maillard +1

We introduce some multiple integrals that are expected to have the same singularities as the singularities of the -particle contributions to the susceptibility of the…

math-ph200734 cited

The diagonal Ising susceptibility

S. Boukraa, S. Hassani, J. -M. Maillard +2

We use the recently derived form factor expansions of the diagonal two-point correlation function of the square Ising model to study the susceptibility for a magnetic field applied…

math-ph200714 cited

Landau singularities and singularities of holonomic integrals of the Ising class

S. Boukraa, S. Hassani, J. -M. Maillard +1

We consider families of multiple and simple integrals of the ``Ising class'' and the linear ordinary differential equations with polynomial coefficients they are solutions of. We c…