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Dynamical Systems
An International Journal
Volume 39, 2024 - Issue 1
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Research Article

A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature

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Pages 1-4 | Received 21 Dec 2022, Accepted 22 Jun 2023, Published online: 28 Jun 2023

References

  • K. Burns, J. Buzzi, T. Fisher, and N. Sawyer, Phase transitions for the geodesic flow of a rank one surface with nonpositive curvature, Dyn. Syst. 36(3) (2021), pp. 527–535. MR4304640
  • K. Burns, V. Climenhaga, T. Fisher, and D. J. Thompson, Unique equilibrium states for geodesic flows in nonpositive curvature, Geom. Funct. Anal. 28(5) (2018), pp. 1209–1259. MR3856792
  • K. Burns and K. Gelfert, Lyapunov spectrum for geodesic flows of rank 1 surfaces, Discrete Contin. Dyn. Syst. 34(5) (2014), pp. 1841–1872. MR3124716
  • G. Knieper, The uniqueness of the measure of maximal entropy for geodesic flows on rank 1 manifolds, Ann. Math. 148(1) (1998), pp. 291–314. MR1652924
  • M. Viana and K. Oliveira Foundations of Ergodic Theory, Cambridge Studies in Advanced Mathematics Vol. 151. Cambridge University Press, Cambridge, 2016. p. xvi+530. MR3558990

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