Display Abstract

Title Finite time extinction for stochastic sign fast diffusion and self-organized criticality

Name Benjamin Gess
Country USA
Email gess@math.tu-berlin.de
Co-Author(s)
Submit Time 2014-02-19 15:22:04
Session
Special Session 109: Stochastic Partial Differential Equations
Contents
We will first shortly review the informal derivation of a continuum limit for the Bak-Tang-Wiesenfeld model of self-organized criticality. This will lead to the stochastic sign fast diffusion equation. A key property of models exhibiting self-organized criticality is the relaxation of supercritical states into critical ones in finite time. However, it has remained an open question for several years whether the continuum limit - the stochastic sign fast diffusion - satisfies this relaxation in finite time. We will present a proof of this.