Displaying similar documents to “The adic realizations of the ergodic actions with the homeomorphisms of the Markov compact and the ordered Bratteli diagrams”

Operators with an ergodic power

Teresa Bermúdez, Manuel González, Mostafa Mbekhta (2000)

Studia Mathematica

Similarity:

We prove that if some power of an operator is ergodic, then the operator itself is ergodic. The converse is not true.

Multiparameter pointwise ergodic theorems for Markov operators on L.

Ryotaro Sato (1994)

Publicacions Matemàtiques

Similarity:

Let P1, ..., Pd be commuting Markov operators on L∞(X,F,μ), where (X,F,μ) is a probability measure space. Assuming that each Pi is either conservative or invertible, we prove that for every f in Lp(X,F,μ) with 1 ≤ p < ∞ the averages Anf = (n + 1)-d Σ0≤ni≤n P1