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Autocorrelations from fluctuation scale dependence by inversion

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arxiv hep-ph/0410182 v4 pith:EODECB56 submitted 2004-10-13 hep-ph

Autocorrelations from fluctuation scale dependence by inversion

classification hep-ph
keywords scalefluctuationautocorrelationdependencedistributionequationtwo-particleacceptance
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Fluctuations in nuclear collisions can be measured as a function of momentum-space binning scale over a scale interval bounded by detector two-track resolution and acceptance. Fluctuation scale dependence is related to two-particle correlations by a Fredholm integral equation. That equation can be inverted by standard numerical methods to yield an autocorrelation distribution on difference variables as a projection of the full two-particle distribution which retains most of the correlation information in a more compact form. Autocorrelation distributions are typically more easily interpreted in terms of physical mechanisms than fluctuation measurements.

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