125 citations · 1k across the 46 of their papers we have counts for
6 papers · 1 filter
Universality for polynomial invariants on ribbon graphs with half-ribbons
Remi C. Avohou, Joseph Ben Geloun, Mahouton N. Hounkonnou
In this paper, we analyze the Bollobás and Riordan polynomial for ribbon graphs with half-ribbons introduced in [Combinatorics, Probability and Computing 31, 507-549,…
On the finite amplitudes for open graphs in Abelian dynamical colored Boulatov-Ooguri models
Joseph Ben Geloun
In the work [Int. J. Theor. Phys. 50, 2819 (2011)], it has been proved that the radiative corrections of the 2-point function in the SU(2) Boulatov tensor model generates a relevan…
Counting Tensor Model Observables and Branched Covers of the 2-Sphere
Joseph Ben Geloun, Sanjaye Ramgoolam
Lattice gauge theories of permutation groups with a simple topological action (henceforth permutation-TFTs) have recently found several applications in the combinatorics of quantum…
The finite and large- behaviors of independent-value matrix models
Joseph Ben Geloun, John R. Klauder
We investigate the finite and large behaviors of independent-value O(N)-invariant matrix models. These are models defined with matrix-type fields and with no gradient term in t…
Renormalizable Models in Rank Tensorial Group Field Theory
Joseph Ben Geloun
Classes of renormalizable models in the Tensorial Group Field Theory framework are investigated. The rank tensor fields are defined over copies of a group manifold $G_D=U(1…
Extending the Tutte and Bollobás-Riordan Polynomials to Rank 3 Weakly-Colored Stranded Graphs
Remi C. Avohou, Joseph Ben Geloun, Mahouton N. Hounkonnou
The Bollobás-Riordan polynomial [Math. Ann. 323, 81 (2002)] is a universal polynomial invariant for ribbon graphs. We find an extension of this polynomial for a particular family o…