124 citations · 149 across the 5 of their papers we have counts for
Showing 2000Show all
3 papers · 1 filter
cond-mat.stat-mech2000
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…
cond-mat.stat-mech2000
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…
nlin.CD2000
Anomalous Scaling in Passive Scalar Advection and Lagrangian Shape Dynamics
I. Arad, I. Procaccia
The problem of anomalous scaling in passive scalar advection, especially with -correlated velocity field (the Kraichnan model) has attracted a lot of interest since the exponent…