Suppose that (X(n)) is a finite adapted sequence of d-dimensional random variables defined on some filtered probability space ( Omega, F, ( Fn),P ) . We obtain conditions which are necessary and sufficient for the existence of a probability measure Q equivalent to P ( which we call an equivalent...

Based on multiparameter subadditive ergodic theorems of Akcoglu and Krengel (1981) and Schürger (1988) we derive an almost sure limit theorem for families of random matrices with a multiparameter which satisfy a supermultiplicativity condition. This gives a multiparameter analogue of results of...