Grants per year
Personal profile
Research Interests
Professor Burns works on geometrical and dynamical problems connected with geodesics in manifolds with nonpositive curvature. Recent work has concentrated on partial hyperbolicity and stable ergodicity.
Education/Academic qualification
PhD, University of Warwick
… → 1983
MSc, University of Warwick
… → 1979
BA, Australian National University
… → 1977
Research interests
- Dynamical systems
- Ergodic theory
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Grants
- 7 Finished
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Conference on "Global Dynamics Beyond Uniform Hyperbolicity"
3/15/13 → 2/28/14
Project: Research project
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Subproject for Conference on "Global Dynamics Beyond Uniform Hyperbolicity"
3/15/13 → 2/28/14
Project: Research project
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Dynamics of Partially Hyperbolic Systems and Geodesic Flows
10/1/10 → 9/30/14
Project: Research project
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Emphasis Year in Dynamic Systems at Northwestern University
Kra, B. R., Burns, K. H., Franks, J. M. & Xia, Z. J.
7/1/10 → 6/30/12
Project: Research project
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Phase transitions for the geodesic flow of a rank one surface with nonpositive curvature
Burns, K., Buzzi, J., Fisher, T. & Sawyer, N., 2021, (Accepted/In press) In: Dynamical Systems.Research output: Contribution to journal › Article › peer-review
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Open problems and questions about geodesics
Burns, K. & Matveev, V. S., 2019, (Accepted/In press) In: Ergodic Theory and Dynamical Systems.Research output: Contribution to journal › Review article › peer-review
1 Scopus citations -
Unique equilibrium states for geodesic flows in nonpositive curvature
Burns, K., Climenhaga, V., Fisher, T. & Thompson, D. J., Oct 1 2018, In: Geometric and Functional Analysis. 28, 5, p. 1209-1259 51 p.Research output: Contribution to journal › Article › peer-review
21 Scopus citations -
Average Pace and Horizontal Chords
Burns, K., Davidovich, O. & Davis, D., Dec 1 2017, In: Mathematical Intelligencer. 39, 4, p. 41-45 5 p.Research output: Contribution to journal › Article › peer-review
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Ergodicity of geodesic flows on incomplete negatively curved manifolds
Burns, K., Masur, H., Matheus, C. & Wilkinson, A., 2017, Lecture Notes in Mathematics. Springer Verlag, p. 175-208 34 p. (Lecture Notes in Mathematics; vol. 2164).Research output: Chapter in Book/Report/Conference proceeding › Chapter
1 Scopus citations