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Showing papers by "David Ruelle published in 1983"


Journal ArticleDOI
TL;DR: In this article, a simple model with a scaling argument was proposed, on the basis of which it is shown that the scaling model has a constant number of corrections, in the sense that it has (1 − √ log{ln}f √ k}$ corrections.
Abstract: A simple model showing a $\frac{1}{f}$ behavior is proposed. It is argued, on the basis of a scaling argument, that is has ${(\mathrm{ln}f)}^{k}$ corrections. Numerical simulations confirm this picture.

107 citations


Journal ArticleDOI
TL;DR: In this paper, a model of 1/f noise based on a random walk in a random potential was proposed, and numerical support for the model was given, and physical applicability discussed.
Abstract: We propose a model of 1/f noise based on a random walk in a random potential. Numerical support for the model is given, and physical applicability discussed.

50 citations


Journal ArticleDOI
TL;DR: In this paper, the authors discuss the choice of probability measures to describe turbulence, the Hausdorff dimension of Julia sets for rational maps of the Riemann sphere, the existence of nonperiodic “turbulent” crystal structure, the mechanism generating intermittency in developed hydrodynamic turbulence, and the distribution of characteristic exponents in a turbulent fluid.

36 citations