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When a Markov chain models nature or social interactions, it is likely not followed exactly, but only approximately. We therefore introduce several notions of robustness for a Markov chain P. Our standard adversary can dynamically change transition probabilities of P by 1 ± ε, and our strong adversary can completely control each transition ...
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Limit Theorems for Semi-Markov Processes and Renewal Theory for Markov Chains
Annals of Probability, 1978K B Athreya, P Ney
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Growth Optimality for Branching Markov Decision Chains
Mathematics of Operations Research, 1982Peter Whittle, Uriel G Rothblum
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Geometric Bounds for Eigenvalues of Markov Chains
Annals of Applied Probability, 1991Daniel Stroock
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On the Numerical Analysis of Inhomogeneous Continuous-Time Markov Chains
INFORMS Journal on Computing, 2010Peter Buchholz
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Space Reduction for a Class of Multidimensional Markov Chains: A Summary and Some Applications
INFORMS Journal on Computing, 2018Attahiru Alfa, Qi-Ming He
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Perturbation theory for Markov chains via Wasserstein distance
Bernoulli, 2018Nikolaus Schweizer, Daniel Rudolf
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Measure-Valued Differentiation for Stationary Markov Chains
Mathematics of Operations Research, 2006Bernd Heidergott, Arie Hordijk
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A New Model for Multivariate Markov Chains
Scandinavian Journal of Statistics, 2014João Nicolau
exaly