Higher-order correlations of Tchebyscheff maps

We determine the higher-order correlation functions of iterates of Tchebyscheff polynomials of arbitrary order N. The non-vanishing correlations can be described by suitable sets of graphs. These graphs allow for a perturbative evaluation of invariant densities for Langevin-like systems that are driven by deterministic chaotic forces generated by Tchebyscheff maps rather than Gaussian white noise.