Poisson renewal resetting in ensembles of continuous-time random walkers produces macroscopic localization at the reset configuration together with a discontinuous transition to collective memory and aging under strong bias.
draws from either (i) an exponential law with meanτ 0, or (ii) a power-law (Pareto- type) law with survival function Pr(τ > t) = (1 +t/τ 0)−β (scaleτ 0 >0, tail exponentβ >0)
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Macroscopic localization and collective memory in Poisson renewal resetting
Poisson renewal resetting in ensembles of continuous-time random walkers produces macroscopic localization at the reset configuration together with a discontinuous transition to collective memory and aging under strong bias.