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

Subproject for Conference on "Global Dynamics Beyond Uniform Hyperbolicity"
3/15/13 → 2/28/14
Project: Research project

Conference on "Global Dynamics Beyond Uniform Hyperbolicity"
3/15/13 → 2/28/14
Project: Research project

Dynamics of Partially Hyperbolic Systems and Geodesic Flows
10/1/10 → 9/30/14
Project: Research project

Emphasis Year in Dynamic Systems at Northwestern University
Franks, J. M., Kra, B. R., Burns, K. H. & Xia, Z. J.
7/1/10 → 6/30/12
Project: Research project

Research Output

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 › peerreview
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. 12091259 51 p.Research output: Contribution to journal › Article › peerreview
15 Scopus citations 
Average Pace and Horizontal Chords
Burns, K., Davidovich, O. & Davis, D., Dec 1 2017, In: Mathematical Intelligencer. 39, 4, p. 4145 5 p.Research output: Contribution to journal › Article › peerreview

Ergodicity of geodesic flows on incomplete negatively curved manifolds
Burns, K. H., Masur, H., Matheus, C. & Wilkinson, A., Jan 1 2017, Lecture Notes in Mathematics. Springer Verlag, Vol. 2164. p. 175208 34 p. (Lecture Notes in Mathematics; vol. 2164).Research output: Chapter in Book/Report/Conference proceeding › Chapter
1 Scopus citations 
Ergodicity of the weil–Petersson geodesic flow
Burns, K. H., Masur, H. & Wilkinson, A., Jan 1 2017, Lecture Notes in Mathematics. Springer Verlag, p. 157174 18 p. (Lecture Notes in Mathematics; vol. 2164).Research output: Chapter in Book/Report/Conference proceeding › Chapter