Dynamics of real projective transformations
Submitted: 2017-08-26
|Accepted: 2018-02-05
|Published: 2018-10-04
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Keywords:
topological entropy, zeta function, projective transformation
Supporting agencies:
ResearchInitiation Grant provided by BITS-Pilani
UGC - Senior ResearchFellow.
Abstract:
References:
R. L. Adler, A. G. Konheim and M. H. McAndrew, Topological entropy, Transactions of the American Mathematical Society 114 (1965), 309-319. https://doi.org/10.1090/S0002-9947-1965-0175106-9
R. Bowen, Entropy for group endomorphisms and homogeneous spaces, Transactions of the American Mathematical Society 153 (1971), 401-414. https://doi.org/10.1090/S0002-9947-1971-0274707-X
M. Brin and G. Stuck, Introduction to dynamical systems, Cambridge University Press (2004).
S. G. Dani, Dynamical properties of linear and projective transformations and their applications, Indian J. Pure Appl. Math. 35 (2004), 1365-1394.
R. Devaney, An introduction to chaotic dynamical systems, Second edition, Addison-Wesley Publishing Company Advanced Book Program, Redwood City, CA, 1989.
N. H. Kuiper, Topological conjugacy of real projective transformations, Topology 15 (1976), 13-22. https://doi.org/10.1016/0040-9383(76)90046-X