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Non-monotone absorbing state phase transitions

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SSD - Stochastic systems for anomalous diffusion

In this talk, I will present a model of a branching random walk with overpopulation dynamics. Specifically, when there are at least k particles at a site, every k-tuple annihilates itself at rate 1. We demonstrate that for k≥3 on a regular tree, the model exhibits a non-monotone phase transition. More precisely, the process survives with positive probability at both low and high branching rates but becomes extinct for intermediate branching rates. Time permitting, I will also discuss a model with similar phase transition on Z^d. This is based on joint work with Alexandre Stauffer (King’s College London) and Thomas Finn (former Durham University).  

This talk is part of the Isaac Newton Institute Seminar Series series.

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