Invariant measure selection by noise. An example
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.
Type
Journal articlePermalink
https://hdl.handle.net/10161/9511Published Version (Please cite this version)
10.3934/dcds.2014.34.4223Publication Info
(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 https://hdl.handle.net/10161/9511.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Jonathan Christopher Mattingly
James B. Duke Distinguished 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
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