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The search for the critical point of QCD in heavy-ion collision experimentshas sparked enormous interest with the completion of phase I of the RHIC beamenergy scan. Here, I review the basics of the thermodynamics of the QCD phasetransition and its implications for experimental multiplicity fluctuations inheavy-ion collisions. Several sources of noncritical fluctuations impact theobservables and need to be understood in addition to the critical phenomena.Recent progress has been made in dynamical modeling of critical fluctuations,which ultimately is indispensable to understand potential signals of the QCDcritical point in heavy-ion collision.

The QCD Critical Point and Related Observables