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An Exactly Soluble Hierarchical Clustering Model: Inverse Cascades, Self-Similarity, and Scaling

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 نشر من قبل William I. Newman
 تاريخ النشر 1999
  مجال البحث فيزياء
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We show how clustering as a general hierarchical dynamical process proceeds via a sequence of inverse cascades to produce self-similar scaling, as an intermediate asymptotic, which then truncates at the largest spatial scales. We show how this model can provide a general explanation for the behavior of several models that has been described as ``self-organized critical, including forest-fire, sandpile, and slider-block models.



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