Installation

Run the following commands to be able to run the script below

julia> using Pkg
julia> Pkg.add("MultiFractalFields")
julia> Pkg.add("Plots")

Basic Usage

Below is a basic script to generate multifractal fields using MultiFractalFields.jl. The theoretical background is the Gaussian Multiplicative Chaos theory.

This Julia package was used to generate the results of this paper.

using MultiFractalFields
using Plots

N = 2^15; η = 4π/N; γ = 0.4     # define the physical/numerical parameters

torus = Torus(N, η)
lincov = Linear(2/3)            # linear covariance with scaling exponent 2/3 
logcov = Log()                  # singular covariance for the gmc

mf = MultiFractalField(lincov, torus, logcov, γ)
plot(mf)