CORRELATIONS AND SPECTRA OF TRIANGULAR BILLIARDS

We consider the motion of a point particle in right triangular billiar ds for which acute angles are not rationally connected to pi. We consi der in particular the behaviour of correlations for a particular phase space variable. The behaviour is compatible with the mixing character of the dynamics, even though large fluctuations are exhibited. By Fou rier transforming correlation functions we may as well analyse scaling properties of the spectral measure: both dynamical and spectral featu res are quite similar to what observed in a class of quantum kicked sy stems.