Non-monotone absorbing state phase transitions
- đ¤ Speaker: Leandro Chiarini (Durham University)
- đ Date & Time: Wednesday 06 November 2024, 14:00 - 15:00
- đ Venue: Seminar Room 2, Newton Institute
Abstract
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).
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Leandro Chiarini (Durham University)
Wednesday 06 November 2024, 14:00-15:00