The use of statistical fluctuations as probes of the microscopic dynamics of
hot and dense hadronic matter is reviewed. Critical fluctuations near the
critical point of QCD matter are predicted to enhance fluctuations in pionic
observables. Chemical fluctuations, especially those of locally conserved
quantum numbers, such as electric charge and baryon number, can probe the
nature of the carriers of these quantum numbers in the dense medium.Comment: Talk given at Statistical QCD, Bielefeld (Germany), August 26-30,
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