Experiment / Random Walk

Brownian motion

The drunkard's walk — simple random steps produce rich statistical behavior. Click the canvas to place new walkers.

Speed: 5
Walkers: 5
Step Size: 1.0
Fade: 0%
Steps: 0 Avg Dist: 0 Max Disp: 0 Walkers: 0 FPS: 0
Distribution of walker displacements (should approach Gaussian for large N)
E[distance] ~ √n • CLT produces Gaussian endpoints • Self-avoiding walks have different scaling exponents