Criteria for classifying general Markov chains

On the Stochastic Matrices Associated with Certain Queuing Processes

1953 • 460 citations

Some Conditions for Ergodicity and Recurrence of Markov Chains

1969 • 288 citations

Sufficient conditions for ergodicity and recurrence of Markov chains on a general state space

1975 • 239 citations

Criteria for the recurrence or transience of stochastic process. I

1960 • 188 citations

Sufficient conditions for regularity, recurrence and ergodicity of Markov processes

1975 • 128 citations

Criteria for stochastic processes II: Passage-time moments

1963 • 123 citations

The adjoint Markoff process

1958 • 96 citations

$R$-Theory for Markov Chains on a General State Space I: Solidarity Properties and $R$-Recurrent Chains

1974 • 90 citations

Contributions to Doeblin's theory of Markov processes

1967 • 75 citations

A Uniform Theory for Sums of Markov Chain Transition Probabilities

1975 • 51 citations

The ergodic behaviour of random walks

1961 • 43 citations

A Renewal Theorem for Random Variables which are Dependent or Non-Identically Distributed

1963 • 40 citations

The general theory of Markov processes according to Doeblin

1964 • 36 citations

$R$-Theory for Markov Chains on a General State Space II: $r$-Subinvariant Measures for $r$-Transient Chains

1974 • 31 citations

Geometric ergodicity in a class of denumerable Markov chains

1966 • 31 citations

R-theory for Markov chains on a topological state Space. II

1976 • 21 citations

On the Ergodic Theory of Markov Chains

1973 • 20 citations

RELATIONS BETWEEN ERGODICITY AND MEAN DRIFT FOR MARKOV CHAINS¹

1975 • 19 citations

A Note on Feedback Queues with Bulk Service

1972 • 12 citations

The robustness of positive recurrence and recurrence of Markov chains under perturbations of the transition probabilities

1975 • 12 citations

The existence of anormal chains

1945 • 9 citations

A Direct Construction of the $R$-Invariant Measure for a Markov Chain on a General State Space

1976 • 6 citations

On stochastic boundedness and stationary measures for Markov processes

1971 • 5 citations

Notes on 1-recurrent Markov chains

1976 • 4 citations