Non-fixation for conservative stochastic dynamics on the line

Communications in Mathematical Physics, Volume 358, Issue 3, 2015.

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Abstract:

We consider activated random walk (ARW), a model which generalizes the stochastic sandpile, one of the canonical examples of self organized criticality. Informally ARW is a particle system on with mass conservation. One starts with a mass density of initially active particles, each of which performs a symmetric random walk at rate one a...More

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