Large deviation lower bounds for additive functionals of Markov processes
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Publication:749998
DOI10.1214/aop/1176990736zbMath0713.60037OpenAlexW2049782796MaRDI QIDQ749998
Publication date: 1990
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1176990736
Continuous-time Markov processes on general state spaces (60J25) Discrete-time Markov processes on general state spaces (60J05) Large deviations (60F10)
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Large deviations: From empirical mean and measure to partial sums process ⋮ Moderate deviations for empirical measures of Markov chains: Lower bounds ⋮ Occupation measures for Markov chains ⋮ Large deviations for small noise diffusions over long time ⋮ Large deviations and mixing for dissipative PDEs with unbounded random kicks ⋮ Large deviations and related problems for absorbing Markov chains ⋮ Large deviations for Markov processes with discontinuous statistics. II: Random walks ⋮ Large deviations for occupation times of Markov processes with \(L_{2}\) semigroups ⋮ Large deviation asymptotics and control variates for simulating large functions ⋮ Large deviations for empirical measures of not necessarily irreducible countable Markov chains with arbitrary initial measures ⋮ Exponential convergence in probability for empirical means of Lévy processes ⋮ Extended Laplace principle for empirical measures of a Markov chain ⋮ Large deviation lower bounds for arbitrary additive functionals of a Markov chain
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