57 citations · 65 across the 11 of their papers we have counts for
13 papers
Local criteria for global connectivity comparisons: beyond stochastic domination
Johannes Bäumler, Benedikt Jahnel, Jonas Köppl +3
We introduce a site-wise domination criterion for local percolation models, which enables the comparison of one-arm probabilities even in the absence of stochastic domination. The…
Chase-escape with conversion as a multiple sclerosis lesion model
Emma Bailey, Erin Beckman, Saraí Hernández-Torres +8
We introduce conversion to the stochastic process known as chase-escape in an effort to model aspects of inflammatory damage from multiple sclerosis. We prove monotonicity results…
Four-parameter coalescing ballistic annihilation
Kimberly Affeld, Christian Dean, Matthew Junge +3
In coalescing ballistic annihilation, infinitely many particles move with fixed velocities across the real line and, upon colliding, either mutually annihilate or generate a new pa…
Nontrivial upper bound for chemical distance on the planar random cluster model
Lily Reeves
We extend the upper bounds derived for the horizontal and radial chemical distance for 2d Bernoulli percolation in [DHS21, SR20] to the planar random cluster model with cluster wei…
Diffusion-limited annihilating-coalescing systems
Sungwon Ahn, Matthew Junge, Hanbaek Lyu +3
We study a family of interacting particle systems with annihilating and coalescing reactions. Two types of particles are interspersed throughout a transitive unimodular graph. Both…
Non-universality in clustered ballistic annihilation
Matthew Junge, Arturo Ortiz San Miguel, Lily Reeves +1
In ballistic annihilation, infinitely many particles with randomly assigned velocities move across the real line and mutually annihilate upon contact. We introduce a variant with s…
Arrivals are universal in coalescing ballistic annihilation
Darío Cruzado Padró, Matthew Junge, Lily Reeves
Coalescing ballistic annihilation is an interacting particle system intended to model features of certain chemical reactions. Particles are placed with independent and identically…
A stochastic combustion model with thresholds on trees
Matthew Junge, Zoe McDonald, Jean Pulla +1
Place one active particle at the root of a graph and a Poisson-distributed number of dormant particles at the other vertices. Active particles perform simple random walk. Once the…
Chase-escape on the configuration model
Emma Bernstein, Clare Hamblen, Matthew Junge +1
Chase-escape is a competitive growth process in which red particles spread to adjacent empty sites according to a rate- Poisson process while being chased and consumed by blue p…
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…