A Class of Multidimensional Q-processes

  title={A Class of Multidimensional Q-processes},
  author={Wu Shao Bo and Yu-Hui Zhang},
In this paper we present some necessary conditions for the uniqueness, recurrence, and ergodicity of a class of multidimensional Q-processes, using the dual Yan–Chen comparison method. Then the coupling method is used to study the multidimensional processes in a specific space. As applications, three models of particle systems are illustrated.