On the Existence and Uniqueness of Invariant Measure for Continuous Time Markov Processes

Abstract : The paper attempt to find fairly general conditions under which the existence and uniqueness of invariant measure is guaranteed. The obtained results are new or generalize at least slightly known. The author introduces a terminology: weak, strong Harris, strong recurrence. Two Sections concern general standard processes. Are Section restricts it to Feller or strong Feller standard processes. Three examples are considered to illustrate possible unpleasant situations one can meet in general theory.