Dynamics of real projective transformations

Applied General Topology

Sharan Gopal¹  Srikanth Ravulapalli² 

[1] Birla Institute of Technology and Science - Pilani;University of Hyderabad

关键词: topological entropy;    zeta function;    projective transformation;   

DOI  :  10.4995/agt.2018.7962

学科分类：几何与拓扑

来源: Open Journal Systems

【 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.

【 授权许可】

CC BY-NC-ND