2 citations · 3 across the 4 of their papers we have counts for
11 papers · 1 filter
Excessive symmetry can preclude cutoff
Eric Ramos, Graham White
For each , let denote the Kneser Graph; that whose vertices are labeled by -element subsets of , and whose edges indicate that the corresponding subsets…
Equivariant log concavity and representation stability
Jacob P. Matherne, Dane Miyata, Nicholas Proudfoot +1
We expand upon the notion of equivariant log concavity, and make equivariant log concavity conjectures for Orlik--Solomon algebras of matroids, Cordovil algebras of oriented matroi…
Stability phenomena for resonance arrangements
Eric Ramos, Nicholas Proudfoot
We prove that the ith graded pieces of the Orlik-Solomon algebras or Cordovil algebras of resonance arrangements form a finitely generated FS^op-module, thus obtaining information…
Hilbert series in the category of trees with contractions
Eric Ramos
We consider Hilbert series associated to modules over various categories of trees. Using the technology of Sam and Snowden, we show that these Hilbert series must be algebraic. We…
A model for random braiding in graph configuration spaces
David A. Levin, Eric Ramos, Benjamin Young
We define and study a model of winding for non-colliding particles in finite trees. We prove that the asymptotic behavior of this statistic satisfies a central limiting theorem, an…
Spanning subspace configurations and representation stability
Brendan Pawlowski, Eric Ramos, Brendon Rhoades
Let be a sequence of -vector spaces where carries an action of for each . {\em Representation stability} and {\em mult…