Differentiability and analyticity of topological entropy for Anosov and geodesic flows
Differentiability and analyticity of topological entropy for Anosov and geodesic flows
复制标题
阿诺索夫流和测地线流拓扑熵的可微性和解析性
DOI：
10.1007/bf01393838
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发表时间：
1989
影响因子：
3.1
通讯作者：
H. Weiss
中科院分区：
文献类型：
--
作者：
A. Katok;Gerhard Knieper;M. Pollicott;H. Weiss
本文研究了Anosov流的拓扑熵顶Forck扰动的正则性。我们证明了拓扑熵的变化(几乎)与微扰一样平稳。这篇论文的结果以及几个相关的结果已经在[KKPW]上公布。
SummaryIn this paper we investigate the regularity of the topological entropyhtop forCk 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].