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In this article we prove two formulas for the topological entropy of anF-optical Hamiltonian flow induced by a C^{\infty} Hamiltonian, where F is aLagrangian distribution. In these formulas, we calculate the topologicalentropy as the exponential growth rate of the average of the determinant of thedifferential of the flow, restricted to the Lagrangian distribution or to aproper modification.Comment: 14 page

On the topological entropy of an optical Hamiltonian flow