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Transport properties and first-arrival statistics of random motion with stochastic reset times

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Abstract

Stochastic resets have lately emerged as a mechanism able to generate finite equilibrium mean-square displacement (MSD) when they are applied to diffusive motion. Furthermore, walkers with an infinite mean first-arrival time (MFAT) to a given position x may reach it in a finite time when they reset their position. In this work we study these emerging phenomena from a unified perspective. On one hand, we study the existence of a finite equilibrium MSD when resets are applied to random motion with (x2(t))m∼tp for 0

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Masó-Puigdellosas, A., Campos, D., & Méndez, V. (2019). Transport properties and first-arrival statistics of random motion with stochastic reset times. Physical Review E, 99(1). https://doi.org/10.1103/PhysRevE.99.012141

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