Local exclusion principle for identical particles obeying intermediate   and fractional statistics
  A local exclusion principle is observed for identical particles obeying intermediate/fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type, and implies a non-trivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction. We discuss whether this is actually a necessary requirement. 
Douglas Lundholm, Jan Philip Solovej
quant-ph cond-mat.quant-gas math-ph math.MP