Brownian motion: step lengths ~ N(0,σ²), mean squared displacement ⟨r²⟩ ~ t. Lévy flight: step lengths drawn from a power-law P(l) ~ l−(1+α), α∈(0,2). For α<2, MSD diverges — anomalous diffusion ⟨r²⟩ ~ t2/α. The heavy tail creates rare superdiffusive jumps.