A conditional probability framework derives Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics plus conservation-induced covariances from saddle-point marginals, then uses orthogonal projections to isolate conservation effects in PYTHIA-simulated p+Pb events.
Fluctuations in heavy ion collisions and global conservation effects,
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Equilibrium Statistics as Conditional Laws and Conservation-Induced Correlations
A conditional probability framework derives Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics plus conservation-induced covariances from saddle-point marginals, then uses orthogonal projections to isolate conservation effects in PYTHIA-simulated p+Pb events.