15 citations · 17 across the 5 of their papers we have counts for
3 papers · 1 filter
Topologies of random geometric complexes on Riemannian manifolds in the thermodynamic limit
Antonio Auffinger, Antonio Lerario, Erik Lundberg
We investigate the topologies of random geometric complexes built over random points sampled on Riemannian manifolds in the so-called "thermodynamic" regime. We prove the existence…
EGBTER: Capturing degree distribution, clustering coefficients, and community structure in a single random graph model
Omar El-daghar, Erik Lundberg, Robert A. Bridges
Random graph models are important constructs for data analytic applications as well as pure mathematical developments, as they provide capabilities for network synthesis and princi…
The lemniscate tree of a random polynomial
Michael Epstein, Boris Hanin, Erik Lundberg
To each generic complex polynomial there is associated a labeled binary tree (here referred to as a "lemniscate tree") that encodes the topological type of the graph of $|p(…