A Python program for displaying Schramm-Loewner Evolution. Set up to use the driving function of brownian motion. Does very dumb approximation of differential equations.
Can be run from the command line as ./animate.py or within Python using animate.draw_sle()
levy() uses brownian motion with randomly added jumps (the sizes of the jumps follow a normal distribution).
It should be easy to change the resolution (both space and time), the scale of the brownian motion driving it, and the driving function itself. The colouring shouldn't be too hard to change.
sample commands:
python3 animate.py
see a full list of options
python3 animate.py --help
adjust the brownian motion scale
python3 animate.py --kappa=2
increase time resolution
python3 animate.py --dt 0.0001
increase spatial resolution
python3 animate.py --xn 500
enter a custom driving function
python3 animate.py --zeta "lambda t: t**0.5"
driven by a levy process with no brownian motion component
python3 animate.py --zeta "levy(kappa=0, jumpfreq=3)" --scale "lambda t:t" --dt 0.0002
another levy process
python3 animate.py --zeta "levy(kappa=0, jumpfreq=5, jumpdist=lambda rng:rng.exponential())" --scale "lambda t:t" --dt 0.0002 --xmin -0.1 --xmax 10 --ymax 2 --xn 500
note: draw.py is out of date. You're better off adapting animate.py.