We determine the higher-order correlation functions of iterates of Tchebysc
heff polynomials of arbitrary order N. The non-vanishing correlations can b
e described by suitable sets of graphs. These graphs allow for a perturbati
ve evaluation of invariant densities for Langevin-like systems that are dri
ven by deterministic chaotic forces generated by Tchebyscheff maps rather t
han Gaussian white noise. (C) 2001 Published by Elsevier Science B.V.