Dynamics of real projective transformations

被引：2

作者：

Gopal, Sharan ^{[1
]}

Ravulapalli, Srikanth ^{[2
]}

机构：

[1] BITS Pilani, Hyderabad Campus, Hyderabad, India

[2] Univ Hyderabad, Sch Math & Stat, Hyderabad, India

来源：

APPLIED GENERAL TOPOLOGY | 2018年 / 19卷 / 02期

关键词：

topological entropy; zeta function; projective transformation;

D O I：

10.4995/agt.2018.7962

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The dynamics of a projective transformation on a real projective space are studied in this paper. The two main aspects of these transformations that are studied here are the topological entropy and the zeta function. Topological entropy is an inherent property of a dynamical system whereas the zeta function is a useful tool for the study of periodic points. We find the zeta function for a general projective transformation but entropy only for certain transformations on the real projective line.

引用

页码：239 / 244

页数：6

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