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Robustness of Markov processes on large networks
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MacKay, Robert S. (2011) Robustness of Markov processes on large networks. Journal of Difference Equations and Applications, Vol.17 (No.8). pp. 1155-1167. doi:10.1080/10236190902976889 ISSN 1023-6198.
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Official URL: http://dx.doi.org/10.1080/10236190902976889
Abstract
A metric on the space of probability measures on the state of a large network is introduced, with respect to which the stationary measure of a Markov process on the network is proved under suitable hypotheses to vary uniformly smoothly with parameters and the rate of relaxation to equilibrium to never suddenly decrease.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Research Centres > Centre for Complexity Science Faculty of Science, Engineering and Medicine > Science > Mathematics |
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Library of Congress Subject Headings (LCSH): | Markov processes, Probabilities, Stochastic processes, System analysis | ||||
Journal or Publication Title: | Journal of Difference Equations and Applications | ||||
Publisher: | Taylor & Francis Inc. | ||||
ISSN: | 1023-6198 | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.17 | ||||
Number: | No.8 | ||||
Page Range: | pp. 1155-1167 | ||||
DOI: | 10.1080/10236190902976889 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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