University of Leeds · School of Mathematics

Peter Gracar

Probability, random geometric graphs, dependent percolation, and related stochastic processes.

Manual Control Active

Lévy Flight Sim

Lévy Index ($\alpha$) 1.0

Tail index: \( P(\text{step} > x) \sim x^{-\alpha} \)
Small \(\alpha\) = heavier tails (super-diffusion).

Simulation Speed 5
Sausage Radius (\(p\)-th quantile) R=5.0 (p=50%)

Radius scales with jump size distribution:
\( R(p) \propto (1-p)^{-1/\alpha} \)

Random Seed
Lévy (Points): 0
Lévy (Path): 0
Brownian (Path): 0