Macroscopic localization and collective memory in Poisson renewal resetting (opens in new tab)

arXiv:2601.13595v1 Announce Type: new Abstract: Stochastic renewal processes are ubiquitous across physics, biology, and the social sciences. Here, we show that continuous-time renewal dynamics can naturally produce a mixed discrete-continuous structure, with a macroscopic fraction of particles occupying a discrete state. For ensembles of continuous-time random walkers subject to Poissonian renewal resets, we develop an age-structured framework showing this discrete component corresponds to ...