DECAY OF CORRELATIONS FOR THE AUTOMORPHISM OF THE TORUS T-2

We present new analytical results concerning Markov partitions, transi tion matrices and decay of correlations for hyperbolic algebraic autom orphisms of the torus T-2. A new numerical tool for the computation of the decay of correlations for automorphism is also illustrated. The t ool, based an Markov partitions, allows us to calculate the correlatio n integrals for a large variety of functions and domains defined in T- 2 and for a high number of iterations of the map. It can be used to te st other numerical and analytical methods for estimating correlation d ecay.