IJPAM: Volume 42, No. 3 (2008)

A LOWER ESTIMATE OF THE MOVEMENT
FOR TWISTED TORAL DIFFEOMORPHISMS

Hiromichi Nakayama
Faculty of Integrated Arts and Sciences
Hiroshima University
1-7-1 Kagamiyama, Higashi-Hiroshima, 739-8526, JAPAN
e-mail: nakayama@mis.hiroshima-u.ac.jp


Abstract.As for a diffeomorphism of the $2$-dimensional torus isotopic to the $\id$ and without periodic points, we give a lower estimate for the length of a vector contained in the rotation set when the Ruelle invariant is positive.

Received: August 17, 2007

AMS Subject Classification: 37C25, 37E45

Key Words and Phrases: rotation set, Ruelle invariant, dynamical systems

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 3