a1 CNRS UMPA 128, Ecole Normale Superieure de Lyon, 46, allée d'ltalie, 69364 Lyon, France
a2 Statistics Department, University of California at Berkeley, Berkeley, CA 94720, USA
We determine the Hausdorff and Minkowski dimensions of some self-affine Sierpinski sponges, extending results of McMullen and Bedford. This result is used to show that every compact set invariant under an expanding toral endomorphism which is a direct sum of conformal endomorphisms supports an invariant measure of full dimension.
(Received October 14 1993)
(Revised June 20 1994)