4 papers
Bootstrap Percolation, Indecomposable Permutations, and the n-Kings problem
Mark Huibregtse, Cristobal Lemus-Vidales, David Vella
We study the process of bootstrap percolation on n x n permutation matrices, inspired by the work of Shapiro and Stephens [5]. In this percolation model, cells mutate (from 0 to 1)…
Nilpotent Orbits for Borel Subgroups of
Madeleine Burkhart, David Vella
Let be a quasi-simple algebraic group defined over an algebraically closed field and a Borel subgroup of acting on the nilradical of its Lie algebra…
Defining Equations of Nilpotent Orbits for Borel Subgroups of Modality Zero in Type
Madeleine Burkhart, David Vella
Let be a quasi-simple algebraic group defined over an algebraically closed field and a Borel subgroup of acting on the nilradical of its Lie algebra…
Primary Decomposition in Boolean Rings
David C. Vella
Students studying the Lasker-Noether theorem on primary decomposition of ideals may want to see an example of an ideal (necessarily in a non-Noetherian ring) which does not have a…