57 citations · 65 across the 11 of their papers we have counts for
4 papers · 1 filter
Three-velocity coalescing ballistic annihilation
Luis Benitez, Matthew Junge, Hanbaek Lyu +2
Three-velocity ballistic annihilation is an interacting system in which stationary, left-, and right-moving particles are placed at random throughout the real line and mutually ann…
Equivalence of Polychromatic Arm Probabilities on the Square Lattice
Lily Reeves, Philippe Sosoe
We consider 2d critical Bernoulli percolation on the square lattice. We prove an approximate color-switching lemma comparing k-arm probabilities for different polychromatic color s…
Modeling COVID-19 Spread in Small Colleges
Riti Bahl, Nicole Eikmeier, Alexandra Fraser +4
We develop an agent-based model on a network meant to capture features unique to COVID-19 spread through a small residential college. We find that a safe reopening requires strong…
An estimate for the radial chemical distance in critical percolation clusters
Philippe Sosoe, Lily Reeves
We derive an estimate for the distance, measured in lattice spacings, inside two-dimensional critical percolation clusters from the origin to the boundary of the box of side length…