• 790 Citations
1983 …2019

Research output per year

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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

  • Research in Dynamics

    Burns, K. H.

    National Science Foundation

    8/1/077/31/11

    Project: Research project

    Research Output

    Open problems and questions about geodesics

    Burns, K. & Matveev, V. S., Jan 1 2019, (Accepted/In press) In : Ergodic Theory and Dynamical Systems.

    Research output: Contribution to journalReview article

  • 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 journalArticle

  • 7 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 journalArticle

    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. 175-208 34 p. (Lecture Notes in Mathematics; vol. 2164).

    Research output: Chapter in Book/Report/Conference proceedingChapter

  • 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. 157-174 18 p. (Lecture Notes in Mathematics; vol. 2164).

    Research output: Chapter in Book/Report/Conference proceedingChapter