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math.PR2023
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…
math.PR2023
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…