(Enter summary)
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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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
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://black.csl.uiuc.edu/~meyn/publist.html): More
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Value Iteration and Optimization of Multiclass Queueing Networks - Chen, Meyn (1997)
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Algorithms for Optimization and Stabilization of Controlled Markov .. - Meyn
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