Two-variable polynomials with dynamical Mahler measure zero [article]

Annie Carter, Matilde Lalín, Michelle Manes, Alison Beth Miller, Lucia Mocz
2022 arXiv   pre-print
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.
arXiv:2110.06496v2 fatcat:mk5pnemk2bggphsydd6rvxribq