3 papers
math.CO2025
-anisotropy on the moment curve for homology manifolds and cycles
Karim Adiprasito, Kaiying Hou, Daishi Kiyohara +2
We prove that the Gorensteinification of the face ring of a cycle is totally -anisotropic in characteristic . In other words, given an appropriate Artinian reduction, it cont…
math.ST2024
Cumulant Tensors in Partitioned Independent Component Analysis
Marina Garrote-López, Monroe Stephenson
In this work, we explore Partitioned Independent Component Analysis (PICA), an extension of the well-established Independent Component Analysis (ICA) framework. Traditionally, ICA…
math.AC2021
Asymptotic Behavior of Differential Powers
Jennifer Kenkel, Lillian McPherson, Janet Page +3
In this paper, we study the differential power operation on ideals. We begin with a focus on monomial ideals in characteristic 0 and find a class of ideals whose differential power…