Skip to main content
×
Home
    • Aa
    • Aa
  • Access
  • Cited by 4
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Lenz, Daniel Peyerimhoff, Norbert Post, Olaf and Veselić, Ivan 2008. Continuity properties of the integrated density of states on manifolds. Japanese Journal of Mathematics, Vol. 3, Issue. 1, p. 121.


    Katok, Anatole 1988. Four applications of conformal equivalence to geometry and dynamics. Ergodic Theory and Dynamical Systems, Vol. 8, Issue. 8*, p. 139.


    Walczak, Paweł G. 1988. Dynamics of the geodesic flow of a foliation. Ergodic Theory and Dynamical Systems, Vol. 8, Issue. 04,


    Katok, A. 1982. Entropy and closed geodesies. Ergodic Theory and Dynamical Systems, Vol. 2, Issue. 3-4,


    ×

Entropy estimates for geodesic flows

  • P. Sarnak (a1)
  • DOI: http://dx.doi.org/10.1017/S0143385700001747
  • Published online: 01 September 2008
Abstract
Abstract

Let M be a compact Riemannian manifold of (variable) negative curvature. Let h be the topological entropy and hμ the measure entropy for the geodesic flow on the unit tangent bundle to M. Estimates for h and hμ in terms of the ‘geometry’ of M are derived. Connections with and applications to other geometric questions are discussed.

    • Send article to Kindle

      To send this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Entropy estimates for geodesic flows
      Your Kindle email address
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about sending content to Dropbox.

      Entropy estimates for geodesic flows
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about sending content to Google Drive.

      Entropy estimates for geodesic flows
      Available formats
      ×
Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[5]W. Goodwyn . Comparing topological entropy with measure entropy. Amer. J. of Math. 94 (1972), 336.

[6]A. Katok . Entropy and closed geodesies. Ergod. Th. & Dynam. Sys. 2 (1982), 339.

[7]A. Manning . Topological entropy for geodesic flows, Annal Math. 110 (1979), 567573.

[10]G. Margulis . Applications of ergodic theory to the investigation of manifolds of negative curvature. Func. Anal, and Appl. 3 (1969), 335336.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax