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Pointwise convergence of the iterates of a Harris-recurrent Markov operator

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Publication:1140363
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DOI10.1007/BF02762159zbMath0435.60068MaRDI QIDQ1140363

Shlomo Horowitz

Publication date: 1979

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

invariant measureMarkov operator


Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Linear operators on function spaces (general) (47B38)


Related Items

On non-singular renewal kernels with an application to a semigroup of transition kernels ⋮ Ergodic sequences of averages of group representations ⋮ Almost everywhere convergence of powers of some positive \(L_p\) contractions ⋮ On the existence of \(\sigma\)-finite invariant measures for operators ⋮ Almost everywhere convergence of the iterates of a bi-stochastic Markov operator ⋮ Almost everywhere convergence of convolution powers on compact Abelian groups ⋮ Fractional Poisson equations and ergodic theorems for fractional coboundaries ⋮ Ergodic group actions



Cites Work

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  • Recurrent Markov chains
  • Geometric ergodicity and R-positivity for general Markov chains
  • A Note on Invariant Measures
  • Transition probabilities and contractions ofL ?
  • Some limit theorems for a general Markov process
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