Math @ Duke
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Publications [#224078] of Jonathan C. Mattingly
search arxiv.org.Papers Published
- Jonathan C. Mattingly and Etienne Pardoux, Invariant measure selection by noise: An Example,
Discrete and Continuous Dynamical Systems. Series A, vol. 34 no. 10
(2014),
pp. 4223--4257 [arXiv:1403.3593]
(last updated on 2014/07/15)
Abstract: We consider a deterministic system with two conserved quantities and infinity many invariant measures. However the systems possess a unique invariant measure when enough stochastic forcing and balancing dissipation are added. We then show that as the forcing and dissipation are removed a unique limit of the deterministic system is selected. The exact structure of the limiting measure depends on the specifics of the stochastic forcing.
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