310 citations · 7.5k across the 291 of their papers we have counts for
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Spectrum of Anisotropic Exponents in Hydrodynamic Systems with Pressure
I. Arad, I. Procaccia
We discuss the scaling exponents characterizing the power-law behavior of the anisotropic components of correlation functions in turbulent systems with pressure. The anisotropic co…
Outliers, Extreme Events and Multiscaling
Victor S. L'vov, Anna Pomyalov, Itamar Procaccia
Extreme events have an important role which is sometime catastrophic in a variety of natural phenomena including climate, earthquakes and turbulence, as well as in man-made environ…
Convergent Calculation of the Asymptotic Dimension of Diffusion Limited Aggregates: Scaling and Renormalization of Small Clusters
Benny Davidovitch, Anders Levermann, Itamar Procaccia
Diffusion Limited Aggregation (DLA) is a model of fractal growth that had attained a paradigmatic status due to its simplicity and its underlying role for a variety of pattern form…
Analytic Calculation of the Anomalous Exponents in Turbulence: Using the Fusion Rules to Flush Out a Small Parameter
Victor S. L'vov, Itamar Procaccia
The main difficulty of statistical theories of fluid turbulence is the lack of an obvious small parameter. In this paper we show that the formerly established fusion rules can be e…
Analytic Theory of Fractal Growth Patterns in 2 Dimensions
Benny Davidovich, Itamar Procaccia
Diffusion Limited Aggregation (DLA) is a model of fractal growth that was introduced in 1981 and had since attained a paradigmatic status due to its simplicity and its underlying r…
Conformal Dynamics of Fractal Growth Patterns Without Randomness
Benny Davidovich, M. J. Feigenbaum, H. G. E. Hentschel +1
Many models of fractal growth patterns (like Diffusion Limited Aggregation and Dielectric Breakdown Models) combine complex geometry with randomness; this double difficulty is a st…