Mobilia, M.2007-04-032007-04-032007-04-03200310.1103/PhysRevLett.91.028701https://infoscience.epfl.ch/handle/20.500.14299/4218WOS:0001840860000513911A method for studying the exact properties of a class of inhomogeneous stochastic many-body systems is developed and presented in the framework of a voter model perturbed by the presence of a "zealot," an individual allowed to favor an "opinion." We compute exactly the magnetization of this model and find that in one (1D) and two dimensions (2D) it evolves, algebraically (~t^-1/2) in 1D and much slower (~1/lnt) in 2D, towards the unanimity state chosen by the zealot. In higher dimensions the stationary magnetization is no longer uniform: the zealot cannot influence all the individuals. The implications to other physical problems are also pointed outlattice theorymagnetisationN-body problemsspin systemsstatistical mechanicsstochastic systemszealotvotersinhomogeneous stochastic many-body systemsmagnetizationunanimity statetext::journal::journal article::research article