BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pierre Nolin (City University of Hong Kong) DTSTART:20230301T140000Z DTEND:20230301T150000Z DTSTAMP:20260423T035536Z UID:ADPS/16 DESCRIPTION:Title: Se lf-organized criticality and avalanches in 2D forest fires\nby Pierre Nolin (City University of Hong Kong) as part of Abu Dhabi Stochastics Semi nar\n\n\nAbstract\nBernoulli percolation is a model for random media intro duced by Broadbent and Hammersley in 1957. In this process\, each vertex o f a given graph is occupied or vacant\, with respective probabilities p an d 1-p\, independently of the other vertices (for some parameter p). It is arguably one of the simplest models from statistical mechanics displaying a phase transition as the parameter p varies\, i.e. a drastic change of be havior at some critical value p_c\, and it has been widely studied.\n\nPer colation can be used to analyze forest fire (or epidemics) processes. In s uch processes\, all vertices of a lattice are initially vacant\, and then become occupied at rate 1. If an occupied vertex is hit by lightning\, whi ch occurs at a (typically very small) rate\, all the vertices connected to it burn immediately\, i.e. they become vacant. We want to analyze the beh avior of such processes near and beyond criticality\, that is\, when large components of occupied sites appear. They display a form of self-organize d criticality\, where the phase transition of Bernoulli percolation plays an important role. In particular\, a peculiar and striking phenomenon aris es\, that we call “near-critical avalanches”.\n\nThis talk is based on joint works with Rob van den Berg (CWI and VU\, Amsterdam) and with Wai-K it Lam ( National Taiwan University\, Taipei).\n LOCATION:https://researchseminars.org/talk/ADPS/16/ END:VEVENT END:VCALENDAR