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### Robustness of Markov processes on large networks

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MacKay, R. S. (Robert Sinclair).
(2011)
*Robustness of Markov processes on large networks.*
Journal of Difference Equations and Applications, Vol.17
(No.8).
pp. 1155-1167.
ISSN 1023-6198

**Full text not available from this repository.**

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 > Centre for Complexity Science Faculty of Science > Mathematics |

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 |

Volume: | Vol.17 |

Number: | No.8 |

Page Range: | pp. 1155-1167 |

Identification Number: | 10.1080/10236190902976889 |

Status: | Peer Reviewed |

Publication Status: | Published |

References: | [1] C. Baesens and R.S. MacKay, Exponential localization of linear response in networks with |

URI: | http://wrap.warwick.ac.uk/id/eprint/38601 |

Data sourced from Thomson Reuters' Web of Knowledge

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