A DIMENSION FORMULA FOR ENDOMORPHISMS - THE BELYKH FAMILY

In [10] we considered a class of hyperbolic endomorphisms and asked th e question whether there exists a physically motivated invariant measu re (SRB measure) and if so we gave a criterion when the map is inverti ble on a set of full measure. In this work we want to consider a parti cular example of this class-in fact a three-parameter family of those- and prove that a.s. the criterion is fulfilled. From this it follows t hat the Young formulae for the Hausdorff dimension of the SRB measure holds.