🦅 Lévy Flight

Stability exponent α: 1.5 Walkers: 3 Steps per frame: 5 Scale: 1.0

Total steps0

Max displacement—

Mean step length—

Max step length—

Tail exponent β—

Lévy Stable Distribution
P(l) ~ l^−(1+α), α ∈ (0,2)
α=2 → Gaussian (Brownian)
α<2 → heavy tails, rare long jumps

Mantegna algorithm:
σ = [Γ(1+α)sin(πα/2)/(Γ((1+α)/2)α·2^(α−1)/2)]^1/α
l = u·σ / |v|^1/α

Flight Paths (zoom with scale slider)

Step Length Distribution — log-log scale (power-law tail visible)