  We propose a generalization of the replica trick that allows to calculate the
large distance asymptotic of off-diagonal correlation functions in anyonic
models with a proper factorizable ground-state wave-function. We apply this new
method to the exact determination of all the harmonic terms of the correlations
of a gas of impenetrable anyons and to the Calogero Sutherland model. Our
findings are checked against available analytic and numerical results.
