Exclusion Statistics: Low-Temperature Properties, Fluctuations, Duality, Applications

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We derive some physical properties of ideal assemblies of identical particles obeying generalized exclusion statistics. We discuss fluctuations, and in this connection point out a fundamental contrast to conventional quantum statistics. We demonstrate a duality relating the distribution of particles at statistics $g$ to the distribution of holes at statistics $1/g$. We suggest applications to Mott insulators.
14 pages, no figures, use Phyzzx, IASSNS-HEP 94/25, PUPT 1466

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