Non-homogeneous Markov chains: Tail idempotents, tail sigma-fields and basis

DOI10.1007/BF01176473zbMath0496.60069MaRDI QIDQ1169979

Arunava Mukherjea

Publication date: 1983

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173320

zbMATH Keywords

atomssequence of stochastic matricesrecurrent statestail idempotentstail sigma-field

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic matrices (15B51)

Cites Work

• Convergence of nonhomogeneous stochastic chains with countable states
• The final \(\sigma\)-algebra of an inhomogeneous Markov chain with a finite number of states
• A New Result on the Convergence of Nonhomogeneous Stochastic Chains
• Convergence of non-homogenous stochastic chains. II
• On a class of non-homogeneous Markov chains
• Geometrical aspects of the theory of non-homogeneous Markov chains
• Finite non-homogeneous Markov chains: Asymptotic behaviour
• Countable non-homogeneous Markov chains: asymptotic behaviour
• On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups
• Convergence of Non-Homogeneous Bistochastic Markov Chains
• On finite tail ?-algebras

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