ENTROPY OF GEODESIC FLOWS ON SUBSPACES OF HECKE SURFACE WITH ARITHMETIC CODE

Document Type : Research Paper

Author

DEPARTMENT OF MATHEMATICAL SCIENCES, GUILAN UNIVERSITY

Abstract

There are di erent ways to code the geodesic flows on surfaces with negative curvature. Such code spaces give a useful tool to verify the dynamical properties of geodesic flows. Here we consider special subspaces of geodesic
flows on Hecke surface whose arithmetic codings varies on a set with in nite alphabet. Then we will compare the topological complexity of them by computing their topological entropies.

Keywords


Volume 5, Issue 1
SPECIAL ISSUE FOR SELECTED PAPERS OF CONFERENCE ON DYNALMICAL SYSTEMS AND GEOMETRIC THEORIES, 11-12 DECEMBER 2016, MAHANI MATHEMATICAL RESEARCH CENTER, SHAHID BAHONAR UNIVERSITY OF KERMAN
January 2016
Pages 1-7
  • Receive Date: 31 December 2016
  • Revise Date: 20 December 2016
  • Accept Date: 24 January 2017