  The thermodynamic of particles with intermediate statistics interpolating
between Bose and Fermi statistics is adressed in the simple case where there is
one quantum number per particle. Such systems are essentially one-dimensional.
As an illustration, one considers the anyon model restricted to the lowest
Landau level of a strong magnetic field at low temperature, the generalization
of this model to several particles species, and the one dimensional Calogero
model. One reviews a unified algorithm to compute the statistical mechanics of
these systems. It is pointed out that Haldane's generalization of the Pauli
principle can be deduced from the anyon model in a strong magnetic field at low
temperature.
