Statistical models of hadron production -- simple models for complicated processes

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Thermal statistical models are simple and effective tool to describe particle production in high energy heavy ion collision. It is shown that for higher moments finite volume corrections become important observable quantities. They make possible to differentiate between different statistical ensembles even in the thermodynamic limit.
10 pages. Lecture given at the Helmoltz International Summer School ''Dense Matter in Heavy Ion Collisions and Astrophysics'', JINR, Dubna, 21.08--1.09.2006. To appear in the School proceedings

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