A note on exclusion statistics parameter and Hausdorff dimension
Wellington da Cruz
Abstract
We obtain for an anyon gas in the high temperature limit a relation between the exclusion statistics parameter g and the Hausdorff dimension h, given by g=h(2-h). The anyonic excitations are classified into equivalence classes labeled by Hausdorff dimension, h, and in that limit, the parameter g give us the second virial coefficient for any statistics, ν. The anyonic excitations into the same class h get the same value of this virial coefficient.
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