Begun V. Fluctuations and conservation laws in relativistic hadron gas.

Particle number fluctuations are studied in relativistic Bose and Fermi gases with conserved charges and energy. It was found that particle number fluctuations are different in canonical microcanoni-cal and grand canonical ensembles even in thermodynamic limit. Thus the well known equivalence of different ensembles for aver-age values does not apply to particle number fluctuations in relativ-istic gases. It is shown that the ratio of heavy to light particle multi-plicity may be enhanced in comparison to its thermodynamic limit in the microcanonical ensemble of relativistic gases near produc-tion thresholds. The analytical formulae for the resonance decay contributions to the correlations and fluctuations have been found. Using the full hadron-resonance spectrum we have calculated the scaled variances of negative, positive and all charged particles for primordial and final hadrons at the chemical freeze-out in central Pb+Pb (Au+Au) collisions for different collision energies from SIS and AGS to SPS andRHIC.