91 citations · 572 across the 28 of their papers we have counts for
4 papers · 1 filter
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…
Sticky Brownian Motion and its Numerical Solution
Nawaf Bou-Rabee, Miranda Holmes-Cerfon
Sticky Brownian motion is the simplest example of a diffusion process that can spend finite time both in the interior of a domain and on its boundary. It arises in various applicat…