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math.PR2026
The Heavy-tailed Frog Model
Omer Angel, Jonathan Hermon, Yuliang Shi
We study the frog model on and on the discrete tori , , with a symmetric, translation-invariant, and heavy-tailed transition kernel satisfying…
math.PR2026
Existence and sharpness of the phase transition for the frog model on transitive graphs
Omer Angel, Daniel de la Riva, Jonathan Hermon +1
We consider a slight modification of the frog model. For a given graph, each vertex has particles (or frogs). At time zero, only the particles at the origin a…
math.PR2025
Voter Model stability with respect to conservative noises
Gideon Amir, Omer Angel, Rangel Baldasso +1
The notions of noise sensitivity and stability were recently extended for the voter model. In this model, the vertices of a graph have opinions that are updated by uniformly select…