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Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows

Katok, Anatole and Knieper, Gerhard and Weiss, Howard (1991) Formulas for the derivative and critical points of topological entropy for Anosov and geodesic flows. Communications in Mathematical Physics, 138 (1). pp. 19-31. ISSN 0010-3616. https://resolver.caltech.edu/CaltechAUTHORS:20170408-143320653

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Abstract

This paper represents part of a program to understand the behavior of topological entropy for Anosov and geodesic flows. In this paper, we have two goals. First we obtain some regularity results for C^1 perturbations. Second, and more importantly, we obtain explicit formulas for the derivative of topological entropy. These formulas allow us to characterize the critical points of topological entropy on the space of negatively curved metrics.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1007/BF02099667DOIArticle
http://rdcu.be/rBzKPublisherFree ReadCube access
Additional Information:© Springer-Verlag 1991. Received April 3, 1989; in revised form September 17, 1990. Partially supported by NSF grant DMS-8514630. Chaim Weizmann Research Fellow and NSF postdoctoral Research Fellow.
Funders:
Funding AgencyGrant Number
NSFDMS-8514630
Chaim Weizmann FoundationUNSPECIFIED
NSF Postdoctoral FellowshipUNSPECIFIED
Issue or Number:1
Record Number:CaltechAUTHORS:20170408-143320653
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170408-143320653
Official Citation:Katok, A., Knieper, G. & Weiss, H. Commun.Math. Phys. (1991) 138: 19. doi:10.1007/BF02099667
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:75966
Collection:CaltechAUTHORS
Deposited By: 1Science Import
Deposited On:25 Apr 2017 21:55
Last Modified:03 Oct 2019 16:56

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