54 citations
- Laboratoire de Physique Théorique de la Matière CondenséeFR25 papers
- University of BlidaDZ24 papers
- Université Paris CitéFR17 papers
- University of Blida 215 papers
- Centre National de la Recherche ScientifiqueFR14 papers
- Sorbonne UniversitéFR9 papers
- Stony Brook UniversityUS6 papers
- The University of MelbourneAU4 papers
- Université de LimogesFR4 papers
- Université Pierre-et-Marie-CurieFR4 papers
- University of Sciences and Technology Houari BoumedieneDZ4 papers
- Institut national de recherche en sciences et technologies du numériqueFR3 papers
25 papers · 1 filter
Lattice Green Functions: the d-dimensional face-centred cubic lattice, d=8, 9, 10, 11, 12
S. Hassani, C. Koutschan, J-M. Maillard +1
We previously reported on a recursive method to generate the expansion of the lattice Green function of the -dimensional face-centred cubic lattice (fcc). The method was used to…
Lattice Green Functions: the seven-dimensional face-centred cubic lattice
Nadjah Zenine, Saoud Hassani, Jean-Marie Maillard
We present a recursive method to generate the expansion of the lattice Green function of the d-dimensional face-centred cubic (fcc) lattice. We produce a long series for d =7. Then…
Scaling functions in the square Ising model
S. Hassani, J-M. Maillard
We show and give the linear differential operators of order q= n^2/4+n+7/8+(-1)^n/8, for the integrals which appear in the two-point correlation scalin…
Canonical decomposition of linear differential operators with selected differential Galois groups
S. Boukraa, S. Hassani, J-M. Maillard +1
We revisit an order-six linear differential operator having a solution which is a diagonal of a rational function of three variables. Its exterior square has a rational solution, i…
The Ising model and Special Geometries
S. Boukraa, S. Hassani, J-M. Maillard
We show that the globally nilpotent G-operators corresponding to the factors of the linear differential operators annihilating the multifold integrals of the magnetic sus…
Ising n-fold integrals as diagonals of rational functions and integrality of series expansions: integrality versus modularity
A. Bostan, S. Boukraa, G. Christol +2
We show that the n-fold integrals of the magnetic susceptibility of the Ising model, as well as various other n-fold integrals of the "Ising class", or n-fold integrals f…