Differentiability and analyticity of topological entropy for Anosov and geodesic flows

A. Katok; G. Knieper; M. Pollicott; H. Weiss

doi:10.1007/BF01393838

Differentiability and analyticity of topological entropy for Anosov and geodesic flows

A. Katok
, G. Knieper
, M. Pollicott
, H. Weiss

Research output: Contribution to journal › Article › peer-review

88 Scopus citations

Abstract

In this paper we investigate the regularity of the topological entropy h_top for C^k perturbations of Anosov flows. We show that the topological entropy varies (almost) as smoothly as the perturbation. The results in this paper, along with several related results, have been announced in [KKPW].

Original language	English (US)
Pages (from-to)	581-597
Number of pages	17
Journal	Inventiones Mathematicae
Volume	98
Issue number	3
DOIs	https://doi.org/10.1007/BF01393838
State	Published - Oct 1989

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/BF01393838

Cite this

@article{80e794f2724d4be78e88396e81edd7d1,

title = "Differentiability and analyticity of topological entropy for Anosov and geodesic flows",

abstract = "In this paper we investigate the regularity of the topological entropy htop for Ck perturbations of Anosov flows. We show that the topological entropy varies (almost) as smoothly as the perturbation. The results in this paper, along with several related results, have been announced in [KKPW].",

author = "A. Katok and G. Knieper and M. Pollicott and H. Weiss",

year = "1989",

month = oct,

doi = "10.1007/BF01393838",

language = "English (US)",

volume = "98",

pages = "581--597",

journal = "Inventiones Mathematicae",

issn = "0020-9910",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Differentiability and analyticity of topological entropy for Anosov and geodesic flows

AU - Katok, A.

AU - Knieper, G.

AU - Pollicott, M.

AU - Weiss, H.

PY - 1989/10

Y1 - 1989/10

N2 - In this paper we investigate the regularity of the topological entropy htop for Ck perturbations of Anosov flows. We show that the topological entropy varies (almost) as smoothly as the perturbation. The results in this paper, along with several related results, have been announced in [KKPW].

AB - In this paper we investigate the regularity of the topological entropy htop for Ck perturbations of Anosov flows. We show that the topological entropy varies (almost) as smoothly as the perturbation. The results in this paper, along with several related results, have been announced in [KKPW].

UR - https://www.scopus.com/pages/publications/0001882824

UR - https://www.scopus.com/pages/publications/0001882824#tab=citedBy

U2 - 10.1007/BF01393838

DO - 10.1007/BF01393838

M3 - Article

AN - SCOPUS:0001882824

SN - 0020-9910

VL - 98

SP - 581

EP - 597

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

IS - 3

ER -

Differentiability and analyticity of topological entropy for Anosov and geodesic flows

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this