If a nonperiodic sequence X is the image by a morphism of a fixed point of both a primitive substitution sigma and a primitive substitution tau, then the dominant eigenvalues of the matrices of sigma and tau are multiplicatively dependent. This is the way we propose to generalize Cobham's theorem.
机构:
Moscow MV Lomonosov State Univ, Dept Number Theory, Fac Mech & Math, Moscow 119992, RussiaMoscow MV Lomonosov State Univ, Dept Number Theory, Fac Mech & Math, Moscow 119992, Russia