42 citations · 51 across the 7 of their papers we have counts for
8 papers
An effective solution to convex -body -representability
Federico Castillo, Jean-Philippe Labbé, Julia Liebert +3
From a geometric point of view, Pauli's exclusion principle defines a hypersimplex. This convex polytope describes the compatibility of -fermion and -fermion density matrices…
Foundation of one-particle reduced density matrix functional theory for excited states
Julia Liebert, Federico Castillo, Jean-Philippe Labbé +1
In [Phys. Rev. Lett. 127, 023001 (2021)] a reduced density matrix functional theory (RDMFT) has been proposed for calculating energies of selected eigenstates of interacting many-f…
Congruence Normality of Simplicial Hyperplane Arrangements via Oriented Matroids
Michael Cuntz, Sophia Elia, Jean-Philippe Labbé
A catalogue of simplicial hyperplane arrangements was first given by Grünbaum in 1971. These arrangements naturally generalize finite Coxeter arrangements and the weak order throug…
Combinatorial foundations for geometric realizations of subword complexes of Coxeter groups
Jean-Philippe Labbé
Multitriangulations, and more generally subword complexes, yield a large family of simplicial complexes that are homeomorphic to spheres. Until now, all attempts to prove or dispro…
Combinatorial Inscribability Obstructions for Higher-Dimensional Polytopes
Joseph Doolittle, Jean-Philippe Labbé, Carsten E. M. C. Lange +3
For -dimensional convex polytopes, inscribability is a classical property that is relatively well-understood due to its relation with Delaunay subdivisions of the plane and hype…
Cambrian acyclic domains: counting -singletons
Jean-Philippe Labbé, Carsten Lange
We study the size of certain acyclic domains that arise from geometric and combinatorial constructions. These acyclic domains consist of all permutations visited by commuting equiv…
Area difference bounds for dissections of a square into an odd number of triangles
Jean-Philippe Labbé, Günter Rote, Günter M. Ziegler
Monsky's theorem from 1970 states that a square cannot be dissected into an odd number of triangles of the same area, but it does not give a lower bound for the area differences th…
A Perron theorem for matrices with negative entries and applications to Coxeter groups
Jean-Philippe Labbé, Sébastien Labbé
Handelman (J. Operator Theory, 1981) proved that if the spectral radius of a matrix is a simple root of the characteristic polynomial and is strictly greater than the modulus o…