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20042022
most citedExperimental mathematics on the magnetic susceptibility of the square lattice Ising model

54 citations

Showing 2005Show all

5 papers · 1 filter

math-ph2005★ 2 cited

Differential Galois groups of high order Fuchsian ODE's

N. Zenine, S. Boukraa, S. Hassani +1

We present a simple, but efficient, way to calculate connection matrices between sets of independent local solutions, defined at two neighboring singular points, of Fuchsian differ…

hep-th2005★ 2 cited

Beyond series expansions: mathematical structures for the susceptibility of the square lattice Ising model

N. Zenine, S. Boukraa, S. Hassani +1

We first study the properties of the Fuchsian ordinary differential equations for the three and four-particle contributions and of the square lattice Ising mo…

math-ph2005★ 38 cited

Square lattice Ising model susceptibility: connection matrices and singular behavior of and

N. Zenine, S. Boukraa, S. Hassani +1

We present a simple, but efficient, way to calculate connection matrices between sets of independent local solutions, defined at two neighboring singular points, of Fuchsian differ…

nlin.CD2005★ 4 cited

Post-critical set and non existence of preserved meromorphic two-forms

M. Bouamra, S. Boukraa, S. Hassani +1

We present a family of birational transformations in depending on two, or three, parameters which does not, generically, preserve meromorphic two-forms. With the introducti…

cond-mat.stat-mech2005★ 35 cited

Ising model susceptibility: Fuchsian differential equation for and its factorization properties

N. Zenine, S. Boukraa, S. Hassani +1

We give the Fuchsian linear differential equation satisfied by , the ``four-particle'' contribution to the susceptibility of the isotropic square lattice Ising model. This…