55 citations · 181 across the 20 of their papers we have counts for
24 papers
Slow Convergence of Ising and Spin Glass Models with Well-Separated Frustrated Vertices
David Gillman, Dana Randall
The ferromagnetic Ising model on an square lattice region with mixed boundary conditions can exhibit a phase transition as temperature varies. For this spin system,…
Adaptive Collective Responses to Local Stimuli in Anonymous Dynamic Networks
Shunhao Oh, Dana Randall, Andréa W. Richa
We develop a framework for self-induced phase changes in programmable matter in which a collection of agents with limited computational and communication capabilities can collectiv…
Spanning Trees and Redistricting: New Methods for Sampling and Validation
Sarah Cannon, Moon Duchin, Dana Randall +1
Deciding whether a political districting plan was distorted by a hidden agenda, or whether it dilutes the voting power of some group, requires a neutral baseline for comparison. Re…
Foraging in Particle Systems via Self-Induced Phase Changes
Shunhao Oh, Dana Randall, Andréa W. Richa
The foraging problem asks how a collective of particles with limited computational, communication and movement capabilities can autonomously compress around a food source and dispe…
Local Stochastic Algorithms for Alignment in Self-Organizing Particle Systems
Hridesh Kedia, Shunhao Oh, Dana Randall
We present local distributed, stochastic algorithms for \emph{alignment} in self-organizing particle systems (SOPS) on two-dimensional lattices, where particles occupy unique sites…
Mathematically Quantifying Non-responsiveness of the 2021 Georgia Congressional Districting Plan
Zhanzhan Zhao, Cyrus Hettle, Swati Gupta +3
To audit political district maps for partisan gerrymandering, one may determine a baseline for the expected distribution of partisan outcomes by sampling an ensemble of maps. One a…