Invariant measure selection by noise. An example
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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.
Published Version (Please cite this version)10.3934/dcds.2014.34.4223
Publication InfoMattingly, Jonathan Christopher; & Pardoux, E (2014). Invariant measure selection by noise. An example. Discrete and Continuous Dynamical Systems- Series A, 34(10). pp. 4223-4257. 10.3934/dcds.2014.34.4223. Retrieved from http://hdl.handle.net/10161/9511.
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James B. Duke Professor
Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day. He graduated from the NC School of Science and Mathematics and received a BS is Applied Mathematics with a concentration in physics from Yale University. After two years abroad with a year spent at ENS Lyon studying nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to attend Princeton University where he obtained a PhD in Applied and