  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, $\nu$. The anyonic
excitations into the same class $h$ get the same value of this virial
coefficient.
