Regularity with Respect to the Parameter of Lyapunov Exponents for Diffeomorphisms with Dominated Splitting

Radu Saghin, Ponificia Universidad Catolica de Valparaiso, Chile, Pancho Valenzuela-Henriquez, Pontificia Universidad Catolica de Valparaiso, Chile, and Carlos H. Vasquez, Pontificia Universidad Catolica de Valparaiso, Chile

1. Introduction 2. Definitions and preliminary results 3. A result on regularity of averaged observables for flows 4. Regularity of the averaged Lyapunov exponents 5. Formulas for the Derivatives (Proof of Theorem ) 6. The case of variable measure (Proof of Theorem ) 7. The case of flows 8. Nonvanishing of the second derivative 9. Critical points and rigidity