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A simple framework to justify linear response theory
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Hairer, Martin and Majda, Andrew J. (2010) A simple framework to justify linear response theory. Nonlinearity, Vol.23 (No.4). pp. 909-922. doi:10.1088/0951-7715/23/4/008 ISSN 0951-7715.
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Official URL: http://dx.doi.org/10.1088/0951-7715/23/4/008
Abstract
The use of linear response theory for forced dissipative stochastic dynamical systems through the fluctuation dissipation theorem is an attractive way to study climate change systematically among other applications. Here, a mathematically rigorous justification of linear response theory for forced dissipative stochastic dynamical systems is developed. The main results are formulated in an abstract setting and apply to suitable systems, in finite and infinite dimensions, that are of interest in climate change science and other applications.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Nonlinearity | ||||
Publisher: | Institute of Physics Publishing Ltd. | ||||
ISSN: | 0951-7715 | ||||
Official Date: | April 2010 | ||||
Dates: |
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Volume: | Vol.23 | ||||
Number: | No.4 | ||||
Page Range: | pp. 909-922 | ||||
DOI: | 10.1088/0951-7715/23/4/008 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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