Exact distribution of spacing ratios for random and localized states in quantum chaotic systems.
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DOI: 10.1103/physreve.97.062212
Abstract: Typical eigenstates of quantum systems, whose classical limit is chaotic, are well approximated as random states. Corresponding eigenvalue spectra are modeled through an appropriate ensemble described by random matrix theory. However, a small subset of… read more here.
Keywords: random localized; exact distribution; distribution spacing; spacing ratios ... See more keywords
Exact Distribution of Threshold Crossing Times for Protein Concentrations: Implication for Biological Timekeeping.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.128.048101
Abstract: Stochastic protein accumulation up to some concentration threshold sets the timing of many cellular physiological processes. Here we obtain the exact distribution of first threshold crossing times of protein concentration, in either Laplace or time… read more here.
Keywords: crossing times; time; threshold crossing; exact distribution ... See more keywords