37 citations · 50 across the 9 of their papers we have counts for
9 papers
Lattice Green's function of the hyperkagome lattice: modular uniformization at level 30 from an orthogonal differential Galois group
Bryan Nasr, Jean-Marie Maillard
The lattice Green's functions of the cubic lattices are classical: each is a symmetric square of a second-order operator, with a closed form in complete elliptic integrals. The hyp…
On the diagonals of rational functions: the minimal number of variables (unabridged version)
S. Hassani, J-M. Maillard, N. Zenine
From some observations on the linear differential operators occurring in the Lattice Green function of the d-dimensional face centred and simple cubic lattices, and on the linear d…
Plea for diagonals and telescopers of rational functions
S. Hassani, J-M. Maillard, N. Zenine
This paper is a plea for diagonals and telescopers of rational, or algebraic, functions using creative telescoping, in a computer algebra experimental mathematics learn-by-examples…
The lambda extensions of the Ising correlation functions C(M, N)
S. Boukraa, J-M. Maillard
We revisit, with a pedagogical heuristic motivation, the lambda extension of the low-temperature row correlation functions C(M,N) of the two-dimensional Ising model. In particular,…
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…
Differential algebra on lattice Green functions and Calabi-Yau operators (unabridged version)
Salah Boukraa, Saoud Hassani, Jean-Marie Maillard +1
We revisit miscellaneous linear differential operators mostly associated with lattice Green functions in arbitrary dimensions, but also Calabi-Yau operators and order-seven operato…
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…
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…
The saga of the Ising susceptibility
B. M. McCoy, M. Assis, S. Boukraa +4
We review developments made since 1959 in the search for a closed form for the susceptibility of the Ising model. The expressions for the form factors in terms of the nome and…