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Lyapunov optimizing measures for C-1 expanding maps of the circle
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Jenkinson, Oliver and Morris, Ian D. (2008) Lyapunov optimizing measures for C-1 expanding maps of the circle. Ergodic Theory and Dynamical Systems, Vol.28 (Pt.6). pp. 1849-1860. doi:10.1017/S0143385708000333 ISSN 0143-3857.
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Official URL: http://dx.doi.org/10.1017/S0143385708000333
Abstract
For a generic C-1 expanding map of the circle, the Lyapunov maximizing measure is unique and fully supported, and has zero entropy.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Library of Congress Subject Headings (LCSH): | Lyapunov functions, Mappings (Mathematics), Circle | ||||
| Journal or Publication Title: | Ergodic Theory and Dynamical Systems | ||||
| Publisher: | Cambridge University Press | ||||
| ISSN: | 0143-3857 | ||||
| Official Date: | December 2008 | ||||
| Dates: |
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| Volume: | Vol.28 | ||||
| Number: | Pt.6 | ||||
| Number of Pages: | 12 | ||||
| Page Range: | pp. 1849-1860 | ||||
| DOI: | 10.1017/S0143385708000333 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access | ||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) |
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