TY - JOUR A1 - Dahlenburg, Marcus A1 - Chechkin, Aleksei A1 - Schumer, Rina A1 - Metzler, Ralf T1 - Stochastic resetting by a random amplitude T2 - Physical review : E, Statistical, nonlinear and soft matter physics N2 - Stochastic resetting, a diffusive process whose amplitude is reset to the origin at random times, is a vividly studied strategy to optimize encounter dynamics, e.g., in chemical reactions. Here we generalize the resetting step by introducing a random resetting amplitude such that the diffusing particle may be only partially reset towards the trajectory origin or even overshoot the origin in a resetting step. We introduce different scenarios for the random-amplitude stochastic resetting process and discuss the resulting dynamics. Direct applications are geophysical layering (stratigraphy) and population dynamics or financial markets, as well as generic search processes. Y1 - 2021 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/64682 SN - 2470-0045 SN - 2470-0053 VL - 103 IS - 5 PB - American Physical Society CY - Woodbury, NY ER -