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Exponential and Uniform Ergodicity of Markov Processes (1995)  (Make Corrections)  (13 citations)
D. Down, S.P. Meyn, R.L. Tweedie



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Abstract: Geometric convergence of Markov chains in discrete time on a general state has been studied in detail in [15]. Here we develop a similar theory for '-irreducible continuous time processes, and consider the following types of criteria for geometric convergence: (a) the existence of exponentially bounded hitting times on one and then all suitably "small" sets; (b) the existence of "Foster-Lyapunov" or "drift" conditions for any one and then all skeleton and resolvent chains; (c) the existence of... (Update)

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3.6:   Exponential and Uniform Ergodicity of Markov Processes - Down, Meyn, Tweedie (1995)   (Correct)
1.5:   A Survey of Foster-Lyapunov Techniques for General State Space .. - Meyn, Tweedie (1993)   (Correct)
1.0:   Stability and instability of continuous time Markov processes - Stramer, Tweedie (1994)   (Correct)

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8:   Markov Chains and Stochastic Stability - Meyn, Tweedie - 1993
7:   Stability of Markovian processes III: Foster-Lyapunov criteria for continuous ti.. (context) - Meyn, Tweedie - 1993
5:   Sequencing and routing in multiclass queueing networks - Meyn - 2000

BibTeX entry:   (Update)

D. Down, S. P. Meyn, and R. L. Tweedie. Exponential and uniform ergodicity of Markov processes. Ann. Probab., 23:1671--1691, 1995. http://citeseer.ist.psu.edu/article/down95exponential.html   More

@misc{ down95exponential,
  author = "D. Down and S. Meyn and R. Tweedie",
  title = "Exponential and uniform ergodicity of Markov processes",
  text = "D. Down, S. P. Meyn, and R. L. Tweedie. Exponential and uniform ergodicity
    of Markov processes. Ann. Probab., 23:1671--1691, 1995.",
  year = "1995",
  url = "citeseer.ist.psu.edu/article/down95exponential.html" }
Citations (may not include all citations):
366   Markov Chains and Stochastic Stability - Meyn, Tweedie - 1993
192   Markov Processes : Characterization and Convergence (context) - Ethier, Kurtz - 1986
58   Stochastic Flows and Stochastic Differential Equations (context) - Kunita - 1990
39   General Theory of Markov Processes (context) - Sharpe - 1988
35   Stability of generalized Jackson networks (context) - Meyn, Down - 1994
34   Markov processes and potential theory (context) - Blumenthal, Getoor - 1968
31   Chapman and Hall (context) - Davis, Optimization - 1993
30   Stability of Markovian processes III: Foster-Lyapunov criter.. (context) - Meyn, Tweedie - 1993
25   Stability of Markovian processes II: Continuous time process.. (context) - Meyn, Tweedie - 1993
18   Stochastic Stability of Differential Equations (context) - Khas'minskii - 1980
17   North-Holland (context) - Revuz - 1984
16   Generalized resolvents and Harris recurrence of Markov proce.. (context) - Meyn, Tweedie - 1993
14   Probability Theory II (context) - Loeve - 1978
13   Recurrence and invariant measures for degenerate diffusions (context) - Kliemann - 1987
10   Regenerative closed queueing networks (context) - Kaspi, Mandelbaum - 1992
8   On ergodicity and recurrence properties of a Markov chain wi.. (context) - Hordijk, Spieksma - 1992
8   Stability of acyclic multiclass queueing networks (context) - Down, Meyn - 1994
6   The recurrence structure of general Markov processes (context) - Tuominen, Tweedie - 1979
6   Topological conditions enabling use of Harris methods in dis.. - Tweedie - 1994
5   Exponential decay and ergodicity of general Markov processes.. (context) - Tuominen, Tweedie - 1979
5   Existence and stability of continuous time threshold ARMA mo.. - Stramer, Tweedie et al. - 1993
4   State-dependent criteria for convergence of Markov chains (context) - Meyn, Tweedie - 1994
4   Potentiel Markovien r'ecurrent des chaines de Harris (context) - Neveu - 1972
3   Stability of queueing networks (context) - Down - 1994
3   exponential ergodicity and strong ergodicity of Markov proce.. (context) - Tweedie, ergodicity - 1981
3   Asymptotic behavior of stochastic systems processing Markovi.. (context) - Meyn, Caines - 1991
2   Ergodicit'e des syst'emes stochastiques polynomiaux en temps.. (context) - Mokkadem - 1988
1   Sur un mod'ele autor'egressif non lin'eair: ergodicit'e et e.. (context) - Mokkadem - 1987



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A Lyapunov Bound for Solutions of Poisson's Equation - Glynn, Meyn (1996)   (Correct)
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