Inclusion Statistics
Stéphane Ouvry, Alexios P. Polychronakos
Abstract
We present a historical review of anyon and exclusion statistics, introduced in the 1980s and 1990s respectively, and then turn to developments in the recently introduced inclusion statistics. In contrast to exclusion statistics, where particles tend to be more exclusive than usual fermions, inclusion statistics particles tend to be more gregarious than usual bosons and manifest an enhanced propensity to form condensates. Inclusion and exclusion statistics are related through a duality transformation, generalizing the well-known Bose-Fermi duality. We conclude with a review of the Calogero model realization of exclusion statistics and its extension to inclusion statistics.