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We present a study of residence time statistics for $N$ blinking quantumdots. With numerical simulations and exact calculations we show sharptransitions for a critical number of dots. In contrast to expectation thefluctuations in the limit of $N \to \infty$ are non-trivial. Besides quantumdots our work describes residence time statistics in several other manyparticle systems for example $N$ Brownian particles. Our work provides anatural framework to detect non-ergodic kinetics from measurements of manyblinking chromophores, without the need to reach the single molecule limit.

Residence time statistics for $N$ blinking quantum dots and other stochastic processes