Disjointness of random sequence sets with respect to distinct probability measures

It is shown that the set of deterministic random sequences (of symbols from a finite alphabet) with respect to a computable probability measure /spl mu/, in Martin-Lof's (1966) sense, and the set of deterministic random sequences with respect to another computable probability measure /spl nu/ are disjoint if /spl mu/ and /spl nu/ are different and the measures are either i.i.d. or homogeneous finite-order irreducible Markov measures.