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. doi:10.1007/BF02099667. 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 | |||||||||
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| 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. | |||||||||
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| Issue or Number: | 1 | |||||||||
| DOI: | 10.1007/BF02099667 | |||||||||
| 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: | 15 Nov 2021 16:56 |
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