The ergodic decomposition of conservative Baire measures

Michael L. Sturgeon
1974 Proceedings of the American Mathematical Society  
Certain topological conditions on a Markov transition function are shown sufficient for an integral representation of conservative invariant Baire measures. The analysis incorporates the Choquet-Bishop-de Leeuw extension of the Krein-Milman theorem. mT(B) = fp(x, B) dmix) = (<) m(ß).
doi:10.1090/s0002-9939-1974-0331517-0 fatcat:rt7bfjnhmjeipikbcm5rrw6q3q