2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55347We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, $h$ and as an example of such anyonic systems, we consider the collective excitations of the Fractional Quantum Hall Effect (FQHE).latex, 5 pages, added references, minor gammatical changesHigh Energy Physics - TheoryCondensed MatterHigh Energy Physics - Phenomenologytext