Lévy Diffusion Under Power-Law Stochastic Resetting

Submitted: 16 December 2025 You are already at the latest version We investigated the diffusive dynamics of a L\'evy walk subject to stochastic resetting through combined numerical and theoretical approaches. Under exponential resetting, the process mean squared displacement (MSD) undergoes a sharp transition from free superdiffusive behavior with exponent \( \gamma_0 \) to a steady-state saturation regime.