  We discuss several aspects of the dynamical Mahler measure for multivariate
polynomials. We prove a weak dynamical version of Boyd--Lawton formula and we
characterize the polynomials with integer coefficients having dynamical Mahler
measure zero both for the case of one variable (Kronecker's lemma) and for the
case of two variables, under the assumption that the dynamical version of
Lehmer's question is true.
