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• W2048827595 abstract "We provide a quantitative analysis of the phenomenon of crowding of near-extreme events by computing exactly the density of states (DOS) near the maximum of a set of independent and identically distributed random variables. We show that the mean DOS converges to three different limiting forms depending on whether the tail of the distribution of the random variables decays slower than, faster than, or as a pure exponential function. We argue that some of these results would remain valid even for certain {em correlated} cases and verify it for power-law correlated stationary Gaussian sequences. Satisfactory agreement is found between the near-maximum crowding in the summer temperature reconstruction data of western Siberia and the theoretical prediction." @default.
• W2048827595 created "2016-06-24" @default.
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• W2048827595 date "2007-04-04" @default.
• W2048827595 modified "2023-09-25" @default.
• W2048827595 title "Density of Near-Extreme Events" @default.
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• W2048827595 doi "https://doi.org/10.1103/physrevlett.98.140201" @default.
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