# American Institute of Mathematical Sciences

2004, 11(2&3): 577-580. doi: 10.3934/dcds.2004.11.577

## Topological entropy of a magnetic flow and the growth of the number of trajectories

 1 Department of Mathematics, University of California, Santa Cruz, Santa Cruz CA, 95064, United States

Received  March 2003 Revised  March 2004 Published  June 2004

We prove formulae relating the topological entropy of a magnetic flow to the growth rate of the average number of trajectories connecting two points.
Citation: César J. Niche. Topological entropy of a magnetic flow and the growth of the number of trajectories. Discrete & Continuous Dynamical Systems - A, 2004, 11 (2&3) : 577-580. doi: 10.3934/dcds.2004.11.577
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