On invariant functions and ergodic measures of Markov operators on C(X)
Ryszard Rębowski (1987)
Colloquium Mathematicae
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Displaying similar documents to “On a theorem of H. P. Lotz on quasi-compactness of Markov operators”
On invariant functions and ergodic measures of Markov operators on C(X)
Multiparameter pointwise ergodic theorems for Markov operators on L.
Ryotaro Sato (1994)
Publicacions Matemàtiques
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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
Uniform Ergodic Theormes for Markov Operators on C(X).
Heinrich P. Lotz (1981)
Mathematische Zeitschrift
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Stability of iterates of Markov operators
Ryszard Rudnicki (1988)
Annales Polonici Mathematici
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Most Markov operators on C(X) are quasi-compact and uniquely ergodic
Ryszard Rębowski (1987)
Colloquium Mathematicae
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Semi-Groups of Markov Operators
S. Horowitz (1974)
Annales de l'I.H.P. Probabilités et statistiques
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Erdős measures, sofic measures, and Markov chains.
Bezhaeva, Z.I., Oseledets, V.I. (2005)
Zapiski Nauchnykh Seminarov POMI
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On infinite dams with Markov dependent inputs
R. M. Phatarfod (1983)
Applicationes Mathematicae
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Geometric ergodicity and hybrid Markov chains.
Roberts, Gareth O., Rosenthal, Jeffrey S. (1997)
Electronic Communications in Probability [electronic only]
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Ergodicity of a certain class of Non Feller Models: Applications to and Markov switching models
Jean-Gabriel Attali (2010)
ESAIM: Probability and Statistics
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We provide an extension of topological methods applied to a certain class of Non Feller Models which we call Quasi-Feller. We give conditions to ensure the existence of a stationary distribution. Finally, we strengthen the conditions to obtain a positive Harris recurrence, which in turn implies the existence of a strong law of large numbers.
The quasi-sure ratio ergodic theorem
P. J. Fitzsimmons (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Operators with an ergodic power
Teresa Bermúdez, Manuel González, Mostafa Mbekhta (2000)
Studia Mathematica
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We prove that if some power of an operator is ergodic, then the operator itself is ergodic. The converse is not true.