7 citations · 11 across the 3 of their papers we have counts for
5 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…
The -Tamari lattice via -trees, -bracket vectors, and subword complexes
Cesar Ceballos, Arnau Padrol, Camilo Sarmiento
We give new interpretations of the -Tamari lattice of Préville-Ratelle and Viennot. First, we describe it as a rotation lattice of -trees, which uncovers the relation with kn…
Colorful simplicial depth, Minkowski sums, and generalized Gale transforms
Karim Adiprasito, Philip Brinkmann, Arnau Padrol +3
The colorful simplicial depth of a collection of d+1 finite sets of points in Euclidean d-space is the number of choices of a point from each set such that the origin is contained…
Polytopes with few vertices and few facets
Arnau Padrol
In this note we prove that the number of combinatorial types of -polytopes with vertices and facets is bounded by a constant independent of .
Neighborly and almost neighborly configurations, and their duals
Arnau Padrol
This thesis presents new applications of Gale duality to the study of polytopes, point configurations and oriented matroids with extremal combinatorial properties. The first part o…