Anomalous diffusion of random walks with memory.
Anomalous diffusion of random walks with memory.
Speaker: Denis Boyer
Date: November 7th, 2024, 16:00 (GMT-6)
Auditorium Z of CUCEI. Youtube link
Abstract:
Random walks with preferential revisits to previously visited locations are highly non-Markov processes that have received some attention in recent years, on the one hand because of their connection to resetting processes and on the other hand because of their applications to the study of human and animal mobility. These processes are generically characterized by ultra-slow, logarithmic-in-time anomalous diffusion and a power-law relaxation towards steady states. We review some exact results on preferential revisit models in a variety of contexts, such as in random walks on infinite lattices, confined by potentials, or on complex networks. We also discuss the localization transitions that these processes can exhibit.