Keith H Burns

  • 731 Citations
1983 …2018
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Personal profile

Education/Academic qualification

PhD, University of Warwick

… → 1983

MSc, University of Warwick

… → 1979

BA, Australian National University

… → 1977

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Geodesic Flow Mathematics
Ergodicity Mathematics
Bernoulli Mathematics
Geodesic Mathematics
Topological Entropy Mathematics
Diffeomorphisms Mathematics
Moduli Space Mathematics
Entropy Engineering & Materials Science

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Grants 2004 2014

Research Output 1983 2018

2 Citations (Scopus)

Unique equilibrium states for geodesic flows in nonpositive curvature

Burns, K. H., 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

Nonpositive Curvature
Geodesic Flow
Equilibrium State
Singular Set
Uniqueness

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

Chord or secant line
Horizontal
Chord
1 Citation (Scopus)

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

Geodesic Flow
Ergodicity

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

Geodesic Flow
Ergodicity
Riemann Surface
Moduli Space
Weil-Petersson Metric
3 Citations (Scopus)

Rates of mixing for the Weil–Petersson geodesic flow: exponential mixing in exceptional moduli Spaces

Burns, K. H., Masur, H., Matheus, C. & Wilkinson, A., Apr 1 2017, In : Geometric and Functional Analysis. 27, 2, p. 240-288 49 p.

Research output: Contribution to journalArticle

Geodesic Flow
Moduli Space
Singularity
Curved Surface
Rescaling