Mean arc theorem for exploring domains with randomly distributed arbitrary closed trajectories Samuel Hidalgo-Caballero, Alvaro Cassinelli, Matthieu Labousse and Emmanuel Fort Eur. Phys. J. Plus, 137 4 (2022) 501 Published online: 22 April 2022 DOI: 10.1140/epjp/s13360-022-02700-z