215 citations · 311 across the 8 of their papers we have counts for
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New Algorithm for Parallel Laplacian Growth by Iterated Conformal Maps
Anders Levermann, Itamar Procaccia
We report a new algorithm to generate Laplacian Growth Patterns using iterated conformal maps. The difficulty of growing a complete layer with local width proportional to the gradi…
Bi-Laplacian Growth Patterns in Disordered Media
Anders Levermann, Itamar Procaccia
Experiments in quasi 2-dimensional geometry (Hele Shaw cells) in which a fluid is injected into a visco-elastic medium (foam, clay or associating-polymers) show patterns akin to fr…
Quasi-Static Brittle Fracture in Inhomogeneous Media and Iterated Conformal Maps: Modes I, II and III
Felipe Barra, Anders Levermann, Itamar Procaccia
The method of iterated conformal maps is developed for quasi-static fracture of brittle materials, for all modes of fracture. Previous theory, that was relevant for mode III only,…
Transition in the Fractal Properties from Diffusion Limited Aggregation to Laplacian Growth via their Generalization
H. George E. Hentschel, Anders Levermann, Itamar Procaccia
We study the fractal and multifractal properties (i.e. the generalized dimensions of the harmonic measure) of a 2-parameter family of growth patterns that result from a growth mode…
Multifractal Structure of the Harmonic Measure of Diffusion Limited Aggregates
Mogens H. Jensen, Anders Levermann, Joachim Mathiesen +1
The method of iterated conformal maps allows to study the harmonic measure of Diffusion Limited Aggregates with unprecedented accuracy. We employ this method to explore the multifr…
Quasi-Static Fractures in Disordered Media and Iterated Conformal Maps
Felipe Barra, H. George E. Hentschel, Anders Levermann +1
We study the geometrical characteristic of quasi-static fractures in disordered media, using iterated conformal maps to determine the evolution of the fracture pattern. This method…