AUTHOR=Masó-Puigdellosas Axel , Campos Daniel , Méndez Vicenç TITLE=Anomalous Diffusion in Random-Walks With Memory-Induced Relocations JOURNAL=Frontiers in Physics VOLUME=7 YEAR=2019 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2019.00112 DOI=10.3389/fphy.2019.00112 ISSN=2296-424X ABSTRACT=

In this minireview we present the main results regarding the transport properties of stochastic movement with relocations to known positions. To do so, we formulate the problem in a general manner to see several cases extensively studied during the last years as particular situations within a framework of random walks with memory. We focus on (i) stochastic motion with resets to its initial position followed by a waiting period, and (ii) diffusive motion with memory-driven relocations to previously visited positions. For both of them we show how the overall transport regime may be actively modified by the details of the relocation mechanism.