3 papers
math.CO2024
Log-concavity for independent sets of valuated matroids
Jeffrey Giansiracusa, Felipe Rincón, Victoria Schleis +1
Recently, several proofs of the Mason--Welsh conjecture for matroids have been found, which asserts the log-concavity of the sequence that counts independent sets of a given size.…
math.CT2023
Algebraic Dynamical Systems in Machine Learning
Iolo Jones, Jerry Swan, Jeffrey Giansiracusa
We introduce an algebraic analogue of dynamical systems, based on term rewriting. We show that a recursive function applied to the output of an iterated rewriting system defines a…
math.AT2023
An structure on the matroid grassmannian
Jeffrey Giansiracusa
In analogy with the origin of the additive structure of -theory, we construct an structure on the matroid Grassmannian (the space of oriented matroids) for which the…