  We study noise sensitivity of the consensus opinion of the voter model on
finite graphs, with respect to noise affecting the initial opinions and noise
affecting the dynamics.
  We prove that the final opinion is stable with respect to small perturbations
of the initial configuration, and is sensitive to perturbations of the dynamics
governing the evolution of the process.
  Our proofs rely on the duality relationship between the voter model and
coalescing random walks, and on a precise description of this evolution when we
have coupled dynamics.
