Measure-preserving dynamical systems on R3 with all trajectories bounded
Metadata Field | Value | Language |
---|---|---|
dc.contributor.advisor | Kuperberg, Krystyna | |
dc.contributor.author | Ford, Jeffrey | |
dc.date.accessioned | 2017-11-16T22:34:50Z | |
dc.date.available | 2017-11-16T22:34:50Z | |
dc.date.issued | 2017-11-16 | |
dc.identifier.uri | http://hdl.handle.net/10415/5971 | |
dc.description.abstract | We present here constructions, both smooth and piecewise-linear, of non-singular, measure-preserving dynamical systems on R3, with each trajectory contained in a bounded set. In the smooth case, we use a sequence of nested subsets of R3, and construct a measure-preserving flow where no trajectory escapes the set in which it originates. In the piecewise-linear case, we again employ a sequence of nested subsets, but rather than defining a flow using vector fields, we construct a measured 1-foliation, which gives rise to a measure-preserving dynamical system. | en_US |
dc.subject | Mathematics and Statistics | en_US |
dc.title | Measure-preserving dynamical systems on R3 with all trajectories bounded | en_US |
dc.type | PhD Dissertation | en_US |
dc.embargo.status | NOT_EMBARGOED | en_US |
dc.contributor.committee | Smith, Michel | |
dc.contributor.committee | Feng, Ziqin | |
dc.contributor.committee | Huang, Huajun |