Range-Controlled Random Walks

L Régnier1, O Bénichou1, P L Krapivsky2,3

  • 1Laboratoire de Physique Théorique de la Matière Condensée, CNRS/Sorbonne Université, 75005 Paris, France.

PubMed
Summary

Range-controlled random walks exhibit dimension-dependent critical exponents. Above this critical value, a forager can cover an infinite lattice in finite time, with surprising behaviors in multi-walker scenarios.

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