26 citations · 34 across the 3 of their papers we have counts for
13 papers
Transverse Rigidity is Prestress Stability
Steven J. Gortler, Miranda Holmes-Cerfon, Louis Theran
Recently, V. Alexandrov proposed an intriguing sufficient condition for rigidity, which we will call "transverse rigidity". We show that transverse rigidity is actually equivalent…
Thermodynamic stability versus Kinetic Accessibility: Pareto Fronts for Programmable Self-Assembly
Anthony Trubiano, Miranda Holmes-Cerfon
A challenge in designing self-assembling building blocks is to ensure the target state is both thermodynamically stable and kinetically accessible. These two objectives are known t…
Realizations of Isostatic Material Frameworks
Mahdi Sadjadi, Varda F. Hagh, Mingyu Kang +6
This paper studies the set of equivalent realizations of isostatic frameworks in two dimensions, and algorithms for finding all such realizations. We show that an isostatic framewo…
Simulating sticky particles: A Monte Carlo method to sample a stratification
Miranda Holmes-Cerfon
Many problems in materials science and biology involve particles interacting with strong, short-ranged bonds, that can break and form on experimental timescales. Treating such bond…
From canyons to valleys: Numerically continuing sticky hard sphere clusters to the landscapes of smoother potentials
Anthony Trubiano, Miranda Holmes-Cerfon
We study the energy landscapes of particles with short-range attractive interactions as the range of the interactions increases. Starting with the set of local minima for $6\leq N\…
Almost-rigidity of frameworks
Miranda Holmes-Cerfon, Louis Theran, Steven J. Gortler
We extend the mathematical theory of rigidity of frameworks (graphs embedded in -dimensional space) to consider nonlocal rigidity and flexibility properties. We provide conditio…