3 citations · 3 across the 2 of their papers we have counts for
4 papers
Abelian networks II. Halting on all inputs
Benjamin Bond, Lionel Levine
Abelian networks are systems of communicating automata satisfying a local commutativity condition. We show that a finite irreducible abelian network halts on all inputs if and only…
Abelian networks I. Foundations and examples
Benjamin Bond, Lionel Levine
In Deepak Dhar's model of abelian distributed processors, automata occupy the vertices of a graph and communicate via the edges. We show that two simple axioms ensure that the fina…
EKR sets for large and
Benjamin Bond
Let $\A\subset\binom{[n]}{r}$ be a compressed, intersecting family and let . Let $\A(X)={A\in\A:A\cap X\ne\emptyset}$ and . Motivated by t…
The lower central series of the symplectic quotient of a free associative algebra
Ben Bond, David Jordan
We study the lower central series filtration L_k for a symplectic quotient A=A_{2n}/<w> of the free algebra A_{2n} on 2n generators, where w=\sum [x_i,x_{i+n}]. We construct an act…