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math.PR2025
The snake in the Brownian sphere
Omer Angel, Emmanuel Jacob, Brett Kolesnik +1
The Brownian sphere is a random metric space, homeomorphic to the two-dimensional sphere, which arises as the universal scaling limit of many types of random planar maps. The direc…
math.PR2024
Annihilating branching Brownian motion
Daniel Ahlberg, Omer Angel, Brett Kolesnik
We study an interacting system of competing particles on the real line. Two populations of positive and negative particles evolve according to branching Brownian motion. When oppos…
math.PR2024
Transitive closure in a polluted environment
Janko Gravner, Brett Kolesnik
We introduce and study a new percolation model, inspired by recent works on jigsaw percolation, graph bootstrap percolation, and percolation in polluted environments. Start with an…