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Density of near-extreme events | | Sanjib Sabhapandit
; Satya N. Majumdar
; | | Date: |
16 Jan 2007 | | Subject: | Statistical Mechanics; Disordered Systems and Neural Networks | | 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 decay 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. | | Source: | arXiv, cond-mat/0701375 | | Other source: | [GID 533707] pmid17501249 | | Services: | Forum | Review | PDF | Favorites | |
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