An Exactly Soluble Hierarchical Clustering Model: Inverse Cascades,
Self-Similarity, and Scaling
A. Gabrielov, W. Newman, und D. Turcotte. (1999)cite arxiv:adap-org/9906003Comment: Resubmitted to Physical Review E; document prepared using RevTeX.
Zusammenfassung
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.
Beschreibung
An Exactly Soluble Hierarchical Clustering Model: Inverse Cascades,
Self-Similarity, and Scaling
