42 citations · 73 across the 17 of their papers we have counts for
6 papers · 1 filter
A pithy look at the Polytope Algebra
Federico Castillo
This is a hands on introduction to McMullen's Polytope Algebra. More than interesting on its own, this algebra was McMullen's tool to give a combinatorial proof of the g-theorem.
Double Schubert polynomials do have saturated Newton polytopes
Federico Castillo, Yairon Cid-Ruiz, Fatemeh Mohammadi +1
We prove that double Schubert polynomials have the Saturated Newton Polytope property. This settles a conjecture by Monical, Tokcan and Yong. Our ideas are motivated by the theory…
The permuto-associahedron revisited
Federico Castillo, Fu Liu
A classic problem connecting algebraic and geometric combinatorics is the realization problem: given a poset, determine whether there exists a polytope whose face lattice is the po…
Common tangents to convex bodies
Federico Castillo, Joseph Doolittle, Jose Alejandro Samper
It is well-known since the time of the Greeks that two disjoint circles in the plane have four common tangent lines. Cappell et al. proved a generalization of this fact for properl…
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…