17 citations · 31 across the 6 of their papers we have counts for
6 papers
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…
Dynamics of Finger Formation in Laplacian Growth without Surface Tension
Mitchell J. Feigenbaum, Itamar Procaccia, Benny Davidovich
We study the dynamics of "finger" formation in Laplacian growth without surface tension in a channel geometry (the Saffman-Taylor problem). Carefully determining the role of bounda…
Conformal Theory of the Dimensions of Diffusion Limited Aggregates
Benny Davidovich, Itamar Procaccia
We employ the recently introduced conformal iterative construction of Diffusion Limited Aggregates (DLA) to study the multifractal properties of the harmonic measure. The support o…
Diffusion Limited Aggregation and Iterated Conformal Maps
Benny Davidovich, H. G. E. Hentschel, Zeev Olami +3
The creation of fractal clusters by diffusion limited aggregation (DLA) is studied by using iterated stochastic conformal maps following the method proposed recently by Hastings an…
Magnetic Impurity in a Metal with Correlated Conduction Electrons: An Infinite Dimensions Approach
Benny Davidovich, V. Zevin
We consider the Hubbard model with a magnetic Anderson impurity coupled to a lattice site. In the case of infinite dimensions, one-particle correlations of the impurity electron ar…