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It is recognised now that a variety of real-life phenomena ranging fromdiffuson of cold atoms to motion of humans exhibit dispersal faster than normaldiffusion. L\'evy walks is a model that excelled in describing suchsuperdiffusive behaviors albeit in one dimension. Here we show that, incontrast to standard random walks, the microscopic geometry of planarsuperdiffusive L\'evy walks is imprinted in the asymptotic distribution of thewalkers. The geometry of the underlying walk can be inferred from trajectoriesof the walkers by calculating the analogue of the Pearson coefficient.

Superdiffusive dispersals impart the geometry of underlying random walks