Metastability in Nearly-Hamiltonian Systems
| dc.contributor.advisor | Freidlin, Mark I | en_US |
| dc.contributor.author | Athreya, Dwijavanti | en_US |
| dc.contributor.department | Applied Mathematics and Scientific Computation | en_US |
| dc.contributor.publisher | Digital Repository at the University of Maryland | en_US |
| dc.contributor.publisher | University of Maryland (College Park, Md.) | en_US |
| dc.date.accessioned | 2009-10-06T05:50:16Z | |
| dc.date.available | 2009-10-06T05:50:16Z | |
| dc.date.issued | 2009 | en_US |
| dc.description.abstract | We characterize the phenomenon of metastability for a small random perturbation of a nearly-Hamiltonian dynamical system with one degree of freedom. We use the averaging principle and the theory of large deviations to prove that a metastable state is, in general, not a single state but rather a nondegenerate probability measure across the stable equilibrium points of the unperturbed Hamiltonian system. The set of all possible ``metastable distributions" is a finite set that is independent of the stochastic perturbation. These results lead to a generalization of metastability for systems close to Hamiltonian ones. | en_US |
| dc.format.extent | 625705 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/9505 | |
| dc.language.iso | en_US | |
| dc.subject.pqcontrolled | Mathematics | en_US |
| dc.subject.pquncontrolled | Averaging | en_US |
| dc.subject.pquncontrolled | Large deviations | en_US |
| dc.subject.pquncontrolled | Metastability | en_US |
| dc.title | Metastability in Nearly-Hamiltonian Systems | en_US |
| dc.type | Dissertation | en_US |
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