7 citations · 8 across the 3 of their papers we have counts for
3 papers
math.CO2017★ 1 cited
Honey from the Hives: A Theoretical and Computational Exploration of Combinatorial Hives
John Lombard
In the first half of this manuscript, we begin with a brief review of combinatorial hives as introduced by Knutson and Tao, and focus on a conjecture by Danilov and Koshevoy for ge…
stat.CO2017
Novel Algorithms for Sampling Abstract Simplicial Complexes
John Lombard
We provide dual algorithms for sampling the space of abstract simplicial complexes on a fixed number of vertices. We develop a generative and descriptive sampler designed with heur…
gr-qc2016★ 7 cited
Network Gravity
John Lombard
We introduce the construction of a new framework for probing discrete emergent geometry and boundary-boundary observables based on a fundamentally a-dimensional underlying network…