33 citations · 106 across the 7 of their papers we have counts for
6 papers
New recursive residue formulas for the topological expansion of the Cauchy Matrix Model
Aleix Prats Ferrer
In a recent work [1] we consider the topological expansion for the non-mixed observables (including the free energy) for the formal Cauchy matrix model. The only restriction in [1]…
Topological Expansion for the Cauchy two-Matrix-Model
Marco Bertola, Aleix Prats Ferrer
Recently, a two-matrix-model with a new type of interaction [1] has been introduced and analyzed using bi-orthogonal polynomial techniques. Here we present the complete 1/N^2 expan…
Topological expansion of the chain of matrices
Bertrand Eynard, Aleix Prats Ferrer
We solve the loop equations to all orders in , for the Chain of Matrices matrix model (with possibly an external field coupled to the last matrix of the chain). We show that…
Harish-Chandra integrals as nilpotent integrals
M. Bertola, A. Prats Ferrer
Recently the correlation functions of the so-called Itzykson-Zuber/Harish-Chandra integrals were computed (by one of the authors and collaborators) for all classical groups using a…
Correlation Functions of Harish-Chandra Integrals over the Orthogonal and the Symplectic Groups
A. Prats Ferrer, B. Eynard, P. Di Francesco +1
The Harish-Chandra correlation functions, i.e. integrals over compact groups of invariant monomials prod tr{X^{p_1} Omega Y^{q_1} Omega^dagger X^{p_2} ... with the weight exp tr{X…
2-matrix versus complex matrix model, integrals over the unitary group as triangular integrals
B. Eynard, A. Prats Ferrer
We prove that the 2-hermitean matrix model and the complex-matrix model obey the same loop equations, and as a byproduct, we find a formula for Itzykzon-Zuber's type integrals over…