113 citations · 309 across the 19 of their papers we have counts for
20 papers
Elementary methods for splitting representations of Rook monoids: a gentle introduction to groupoids
Gérard Henry Edmond Duchamp, Joseph Ben Geloun, Christophe Tollu
We show that the algebra of the coloured rook monoid , {\em i.e.} the monoid of matrices with at most one non-zero entry (an -th root of unity) in each c…
QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization
Joseph Ben Geloun, Andreas G. A. Pithis, Johannes Thürigen
Field theories with combinatorial non-local interactions such as tensor invariants are interesting candidates for describing a phase transition from discrete quantum-gravitational…
Multi-Slice Clustering for 3-order Tensor Data
Dina Faneva Andriantsiory, Joseph Ben Geloun, Mustapha Lebbah
Several methods of triclustering of three dimensional data require the specification of the cluster size in each dimension. This introduces a certain degree of arbitrariness. To ad…
On the counting tensor model observables as and classical invariants
Joseph Ben Geloun
Real or complex tensor model observables, the backbone of the tensor theory space, are classical (unitary, orthogonal, symplectic) Lie group invariants. These observables represent…
Minimizers of the dynamical Boulatov model
Joseph Ben Geloun, Alexander Kegeles, Andreas G. A. Pithis
We study the Euler-Lagrange equation of the dynamical Boulatov model which is a simplicial model for 3d Euclidean quantum gravity augmented by a Laplace-Beltrami operator. We provi…
Embedding Half-Edge Graphs in Punctured Surfaces
Remi C. Avohou, Joseph Ben Geloun, Mahouton N. Hounkonnou
It is known that graphs cellularly embedded into surfaces are equivalent to ribbon graphs. In this work, we generalize this statement to broader classes of graphs and surfaces. Hal…