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Maximal avalanches in the Bak-Sneppen model
Published online by Cambridge University Press: 14 July 2016
Abstract
We study the durations of the avalanches in the maximal avalanche decomposition of the Bak-Sneppen evolution model. We show that all the avalanches in this maximal decomposition have infinite expectation, but only ‘barely’, in the sense that if we made the appropriate threshold a tiny amount smaller (in a certain sense), then the avalanches would have finite expectation. The first of these results is somewhat surprising, since simulations suggest finite expectations.
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- © Applied Probability Trust 2006
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