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Partial Stochastic Resetting of Levy Flights in d Dimensions

Partial stochastic resetting multiplies a diffusing particle's position by a fixed factor between 0 and 1 at random times, pulling it toward the origin without resetting it exactly there. For Brownian motion and symmetric alpha-stable Levy flights in arbitrary dimension, explicit propagators and stationary measures are derived, revealing a dynamical phase transition to stationarity for Brownian motion that is absent for Levy flights.

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Partial versus total resetting for L´evy flights in d dimensions: similarities and discrepancies

This paper studies partial stochastic resetting (PSR), a variant of stochastic resetting in which at random Poissonian times a diffusing particle's position is multiplied by a fixed factor between 0 …