Markov processes on a locally compact space
Tóm tắt
Given a positive contraction,P, on C(X) we define the conservative and dissipative parts ofP and establish some properties which are analogous to known ones from measure theory (see [3]). We also prove a ratio limit theorem for certain processes.
Tài liệu tham khảo
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S. R. Foguel,The ergodic theory of Markov processes, to appear.
S. R. Foguel,Existence of a σ-finite invariant measure for a Markov process on a locally compact space, Israel J. Math.6 (1968) 1–4.
S. R. Foguel,Ergodic decomposition of a topological space, to appear in Israel J. Math.