3 papers
physics.bio-ph2026
The Allee Effect in Compressible Flows
Jonathan Bauermann, Roberto Benzi, David R. Nelson +1
Microbes in marine environments are often confined to thin near-surface layers while being advected by turbulent flows. Because such constrained advection generates an effectively…
cond-mat.dis-nn2026
Banded non-Hermitian random matrices, neural networks, and eigenvalue degeneracies
Richard Huang, David R. Nelson
We study two-banded, non-Hermitian random matrices inspired by sparse neural networks with a circular, 1d topology. We focus on two paradigmatic models, an SSH chain and a ladder m…
physics.bio-ph2025
Genetic interfaces at the frontier of expanding microbial colonies
Jonathan Bauermann, David R. Nelson
We study the genetic interfaces between two species of an expanding colony that consists of individual microorganisms that reproduce and undergo diffusion, both at the frontier and…