Multifractal cascades with interactions

A.P. Siebesma, R.R. Tremblay, A. Erzan and L. Pietronero

Physica A: Statistical Mechanics and its Applications, 1989, vol. 156, issue 2, 613-627

Abstract: We consider a nonlinear version of the random β-model where the fragmentation probability of an eddy depends directly on the activity of the neighbouring regimes. We present an exact calculation for the complete multifractal spectrum. Inspired by concepts recently introduced in the theory of fractal growth, we point out how this generalization might be important for developing a first principle theory based on the Navier-Strokes equations.

Date: 1989
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:156:y:1989:i:2:p:613-627

DOI: 10.1016/0378-4371(89)90084-8

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