3 papers
math.CO2025
Discrete signature varieties
Carlo Bellingeri, Raul Penaguiao
Discrete signatures are invariants computed from time series corresponding to the discretised version of the signature of paths. We study the algebraic varieties arising from their…
math.CO2024
The dimension of the feasible region of pattern densities
Frederik Garbe, Daniel Kral, Alexandru Malekshahian +1
A classical result of ErdÅs, Lovász and Spencer from the late 1970s asserts that the dimension of the feasible region of densities of graphs with at most k vertices in large grap…
math.CO2024
The tropical critical points of an affine matroid
Federico Ardila-Mantilla, Christopher Eur, Raul Penaguiao
We prove that the number of tropical critical points of an affine matroid (M,e) is equal to the beta invariant of M. Motivated by the computation of maximum likelihood degrees, thi…